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Update galpy/mcp_output/mcp_plugin/mcp_service.py
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galpy/mcp_output/mcp_plugin/mcp_service.py
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import os
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import sys
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#
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if source_path not in sys.path:
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sys.path.insert(0, source_path)
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from fastmcp import FastMCP
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from galpy.orbit import Orbit
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from galpy.potential import
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# Create the FastMCP service application
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mcp = FastMCP("galpy_service")
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"""
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Calculate the orbit of a celestial object given initial conditions.
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Parameters:
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- R: float -
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- vR: float -
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- vT: float -
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- z: float -
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- vz: float -
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- phi: float -
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Returns:
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- dict: Contains success,
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"""
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try:
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orbit = Orbit([R, vR, vT, z, vz, phi])
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return {"success": True, "result": result}
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except Exception as e:
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return {"success": False, "error": str(e)}
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@mcp.tool(name="
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def
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"""
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Parameters:
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- R:
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Returns:
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- dict: Contains success
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"""
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try:
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except Exception as e:
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return {"success": False, "error": str(e)}
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@mcp.tool(name="
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def
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"""
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Compute action-angle variables for a given orbit.
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Parameters:
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- R:
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- vT: float - Tangential velocity
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- z: float - Vertical position
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- vz: float - Vertical velocity
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- phi: float - Azimuthal angle
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Returns:
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- dict: Contains
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"""
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try:
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orbit = Orbit([R, vR, vT, z, vz, phi])
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except Exception as e:
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return {"success": False, "error": str(e)}
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import os
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import sys
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# NOTE: galpy should be installed via pip, no need to add source path
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# This allows using the compiled Cython extensions properly
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from fastmcp import FastMCP
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import numpy as np
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# Import core modules from galpy
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from galpy.orbit import Orbit
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from galpy.potential import (
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MiyamotoNagaiPotential,
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NFWPotential,
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LogarithmicHaloPotential,
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HernquistPotential,
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PlummerPotential,
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IsochronePotential,
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KeplerPotential,
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evaluatePotentials,
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vcirc,
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epifreq,
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verticalfreq,
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omegac,
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)
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from galpy.actionAngle import (
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actionAngleIsochrone,
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actionAngleStaeckel,
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actionAngleSpherical,
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estimateDeltaStaeckel,
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)
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# Create the FastMCP service application
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mcp = FastMCP("galpy_service")
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# ============= Potential Creation Tools =============
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def _create_potential(potential_type: str, **params):
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"""Helper function to create potential objects."""
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potential_map = {
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"miyamoto_nagai": MiyamotoNagaiPotential,
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"nfw": NFWPotential,
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"logarithmic": LogarithmicHaloPotential,
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"hernquist": HernquistPotential,
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"plummer": PlummerPotential,
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"isochrone": IsochronePotential,
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"kepler": KeplerPotential,
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}
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if potential_type.lower() not in potential_map:
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raise ValueError(f"Unknown potential type: {potential_type}. Available: {list(potential_map.keys())}")
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return potential_map[potential_type.lower()](**params)
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@mcp.tool(name="create_potential", description="Create a gravitational potential model. Supported types: miyamoto_nagai, nfw, logarithmic, hernquist, plummer, isochrone, kepler.")
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def create_potential(potential_type: str, amp: float = 1.0, a: float = 1.0, b: float = 0.1) -> dict:
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"""
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Create a gravitational potential model.
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Parameters:
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- potential_type: str - Type of potential (miyamoto_nagai, nfw, logarithmic, hernquist, plummer, isochrone, kepler)
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- amp: float - Amplitude/mass parameter (default: 1.0)
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- a: float - Scale length parameter (default: 1.0)
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- b: float - Scale height parameter for disk potentials (default: 0.1)
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Returns:
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- dict: Contains success and potential info or error
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"""
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try:
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pot = _create_potential(potential_type, amp=amp, a=a, b=b) if potential_type.lower() == "miyamoto_nagai" else _create_potential(potential_type, amp=amp, a=a)
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return {"success": True, "result": f"Created {potential_type} potential with amp={amp}, a={a}"}
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except Exception as e:
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return {"success": False, "error": str(e)}
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@mcp.tool(name="evaluate_potential", description="Evaluate the gravitational potential at a given position (R, z).")
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def evaluate_potential(R: float, z: float, potential_type: str = "miyamoto_nagai", amp: float = 1.0, a: float = 1.0, b: float = 0.1) -> dict:
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"""
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Evaluate the gravitational potential at a given point.
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Parameters:
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- R: float - Cylindrical Galactocentric radius (in natural units, 8 kpc = 1)
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- z: float - Vertical height above the plane (in natural units)
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- potential_type: str - Type of potential to use
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- amp: float - Amplitude/mass parameter
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- a: float - Scale length
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- b: float - Scale height (for disk potentials)
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Returns:
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- dict: Contains success and potential value or error
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"""
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try:
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if potential_type.lower() == "miyamoto_nagai":
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pot = MiyamotoNagaiPotential(amp=amp, a=a, b=b)
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elif potential_type.lower() == "nfw":
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pot = NFWPotential(amp=amp, a=a)
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elif potential_type.lower() == "logarithmic":
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pot = LogarithmicHaloPotential(amp=amp)
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else:
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pot = MiyamotoNagaiPotential(amp=amp, a=a, b=b)
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result = float(pot(R, z))
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return {"success": True, "result": result, "R": R, "z": z, "potential_type": potential_type}
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except Exception as e:
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return {"success": False, "error": str(e)}
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# ============= Orbit Tools =============
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@mcp.tool(name="calculate_orbit", description="Calculate and integrate the orbit of a celestial object in a gravitational potential.")
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def calculate_orbit(R: float, vR: float, vT: float, z: float, vz: float, phi: float,
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t_end: float = 10.0, n_steps: int = 1000,
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potential_type: str = "miyamoto_nagai") -> dict:
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"""
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Calculate the orbit of a celestial object given initial conditions.
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Parameters:
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- R: float - Initial radial distance (in natural units, 8 kpc = 1)
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- vR: float - Initial radial velocity (in natural units, 220 km/s = 1)
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- vT: float - Initial tangential velocity
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- z: float - Initial vertical position
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- vz: float - Initial vertical velocity
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- phi: float - Initial azimuthal angle (radians)
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- t_end: float - End time for integration (in natural units, ~4.7 Gyr = 1)
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- n_steps: int - Number of time steps
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- potential_type: str - Type of gravitational potential
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Returns:
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- dict: Contains success, orbit data (R, z, phi arrays), or error
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"""
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try:
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# Create potential
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if potential_type.lower() == "miyamoto_nagai":
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pot = MiyamotoNagaiPotential(amp=1.0, a=1.0, b=0.1)
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elif potential_type.lower() == "nfw":
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pot = NFWPotential(amp=1.0, a=1.0)
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elif potential_type.lower() == "logarithmic":
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pot = LogarithmicHaloPotential(amp=1.0)
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else:
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pot = MiyamotoNagaiPotential(amp=1.0, a=1.0, b=0.1)
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# Create orbit with initial conditions
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orbit = Orbit([R, vR, vT, z, vz, phi])
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# Time array
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ts = np.linspace(0, t_end, n_steps)
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# Integrate
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orbit.integrate(ts, pot)
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# Extract orbit data (sample every 10th point to reduce output size)
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sample_rate = max(1, n_steps // 100)
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result = {
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"R": orbit.R(ts[::sample_rate]).tolist(),
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"z": orbit.z(ts[::sample_rate]).tolist(),
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"phi": orbit.phi(ts[::sample_rate]).tolist(),
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"t": ts[::sample_rate].tolist(),
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}
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return {"success": True, "result": result}
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except Exception as e:
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return {"success": False, "error": str(e)}
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@mcp.tool(name="calculate_orbit_energy", description="Calculate the energy of an orbit at given initial conditions.")
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def calculate_orbit_energy(R: float, vR: float, vT: float, z: float, vz: float, phi: float,
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potential_type: str = "miyamoto_nagai") -> dict:
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"""
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Calculate the total energy of an orbit.
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Parameters:
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- R, vR, vT, z, vz, phi: Initial conditions for the orbit
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- potential_type: str - Type of gravitational potential
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| 168 |
|
| 169 |
Returns:
|
| 170 |
+
- dict: Contains success and energy value or error
|
| 171 |
"""
|
| 172 |
try:
|
| 173 |
+
if potential_type.lower() == "miyamoto_nagai":
|
| 174 |
+
pot = MiyamotoNagaiPotential(amp=1.0, a=1.0, b=0.1)
|
| 175 |
+
elif potential_type.lower() == "nfw":
|
| 176 |
+
pot = NFWPotential(amp=1.0, a=1.0)
|
| 177 |
+
else:
|
| 178 |
+
pot = MiyamotoNagaiPotential(amp=1.0, a=1.0, b=0.1)
|
| 179 |
+
|
| 180 |
+
orbit = Orbit([R, vR, vT, z, vz, phi])
|
| 181 |
+
orbit.integrate([0, 0.01], pot) # Need to integrate briefly to access energy
|
| 182 |
+
energy = float(orbit.E(pot=pot))
|
| 183 |
+
|
| 184 |
+
return {"success": True, "result": energy, "unit": "natural units (220 km/s)^2"}
|
| 185 |
except Exception as e:
|
| 186 |
return {"success": False, "error": str(e)}
|
| 187 |
|
| 188 |
+
@mcp.tool(name="calculate_angular_momentum", description="Calculate the angular momentum of an orbit.")
|
| 189 |
+
def calculate_angular_momentum(R: float, vR: float, vT: float, z: float, vz: float, phi: float) -> dict:
|
| 190 |
+
"""
|
| 191 |
+
Calculate the angular momentum vector of an orbit.
|
| 192 |
+
|
| 193 |
+
Parameters:
|
| 194 |
+
- R, vR, vT, z, vz, phi: Initial conditions for the orbit
|
| 195 |
+
|
| 196 |
+
Returns:
|
| 197 |
+
- dict: Contains success and angular momentum (Lx, Ly, Lz) or error
|
| 198 |
+
"""
|
| 199 |
+
try:
|
| 200 |
+
orbit = Orbit([R, vR, vT, z, vz, phi])
|
| 201 |
+
L = orbit.L()
|
| 202 |
+
|
| 203 |
+
return {
|
| 204 |
+
"success": True,
|
| 205 |
+
"result": {
|
| 206 |
+
"Lx": float(L[0]),
|
| 207 |
+
"Ly": float(L[1]),
|
| 208 |
+
"Lz": float(L[2])
|
| 209 |
+
},
|
| 210 |
+
"unit": "natural units (8 kpc * 220 km/s)"
|
| 211 |
+
}
|
| 212 |
+
except Exception as e:
|
| 213 |
+
return {"success": False, "error": str(e)}
|
| 214 |
+
|
| 215 |
+
@mcp.tool(name="calculate_orbital_parameters", description="Calculate orbital parameters: eccentricity, apocenter, pericenter.")
|
| 216 |
+
def calculate_orbital_parameters(R: float, vR: float, vT: float, z: float, vz: float, phi: float,
|
| 217 |
+
potential_type: str = "miyamoto_nagai") -> dict:
|
| 218 |
+
"""
|
| 219 |
+
Calculate orbital parameters from initial conditions.
|
| 220 |
+
|
| 221 |
+
Parameters:
|
| 222 |
+
- R, vR, vT, z, vz, phi: Initial conditions for the orbit
|
| 223 |
+
- potential_type: str - Type of gravitational potential
|
| 224 |
+
|
| 225 |
+
Returns:
|
| 226 |
+
- dict: Contains eccentricity, apocenter radius, pericenter radius, or error
|
| 227 |
+
"""
|
| 228 |
+
try:
|
| 229 |
+
if potential_type.lower() == "miyamoto_nagai":
|
| 230 |
+
pot = MiyamotoNagaiPotential(amp=1.0, a=1.0, b=0.1)
|
| 231 |
+
else:
|
| 232 |
+
pot = MiyamotoNagaiPotential(amp=1.0, a=1.0, b=0.1)
|
| 233 |
+
|
| 234 |
+
orbit = Orbit([R, vR, vT, z, vz, phi])
|
| 235 |
+
ts = np.linspace(0, 20, 2000) # Integrate for longer to get good orbital params
|
| 236 |
+
orbit.integrate(ts, pot)
|
| 237 |
+
|
| 238 |
+
ecc = float(orbit.e())
|
| 239 |
+
rap = float(orbit.rap())
|
| 240 |
+
rperi = float(orbit.rperi())
|
| 241 |
+
|
| 242 |
+
return {
|
| 243 |
+
"success": True,
|
| 244 |
+
"result": {
|
| 245 |
+
"eccentricity": ecc,
|
| 246 |
+
"apocenter": rap,
|
| 247 |
+
"pericenter": rperi
|
| 248 |
+
},
|
| 249 |
+
"unit": "natural units (8 kpc for distances)"
|
| 250 |
+
}
|
| 251 |
+
except Exception as e:
|
| 252 |
+
return {"success": False, "error": str(e)}
|
| 253 |
+
|
| 254 |
+
# ============= Action-Angle Tools =============
|
| 255 |
+
|
| 256 |
+
@mcp.tool(name="compute_action_angle", description="Compute action-angle variables for a given orbit using the isochrone approximation.")
|
| 257 |
+
def compute_action_angle(R: float, vR: float, vT: float, z: float, vz: float, phi: float,
|
| 258 |
+
method: str = "isochrone") -> dict:
|
| 259 |
"""
|
| 260 |
Compute action-angle variables for a given orbit.
|
| 261 |
|
| 262 |
Parameters:
|
| 263 |
+
- R, vR, vT, z, vz, phi: Orbital phase-space coordinates
|
| 264 |
+
- method: str - Method to use: 'isochrone', 'staeckel', or 'spherical'
|
|
|
|
|
|
|
|
|
|
|
|
|
| 265 |
|
| 266 |
Returns:
|
| 267 |
+
- dict: Contains actions (JR, Lz, Jz) and angles or error
|
| 268 |
"""
|
| 269 |
try:
|
| 270 |
orbit = Orbit([R, vR, vT, z, vz, phi])
|
| 271 |
+
|
| 272 |
+
if method.lower() == "isochrone":
|
| 273 |
+
aA = actionAngleIsochrone(ip=IsochronePotential(amp=1.0, b=0.9))
|
| 274 |
+
elif method.lower() == "staeckel":
|
| 275 |
+
pot = MiyamotoNagaiPotential(amp=1.0, a=1.0, b=0.1)
|
| 276 |
+
delta = estimateDeltaStaeckel(pot, R, z)
|
| 277 |
+
aA = actionAngleStaeckel(pot=pot, delta=delta)
|
| 278 |
+
elif method.lower() == "spherical":
|
| 279 |
+
pot = LogarithmicHaloPotential(amp=1.0)
|
| 280 |
+
aA = actionAngleSpherical(pot=pot)
|
| 281 |
+
else:
|
| 282 |
+
aA = actionAngleIsochrone(ip=IsochronePotential(amp=1.0, b=0.9))
|
| 283 |
+
|
| 284 |
+
# Compute actions
|
| 285 |
+
jr, lz, jz = aA(R, vR, vT, z, vz)
|
| 286 |
+
|
| 287 |
+
return {
|
| 288 |
+
"success": True,
|
| 289 |
+
"result": {
|
| 290 |
+
"JR": float(jr),
|
| 291 |
+
"Lz": float(lz),
|
| 292 |
+
"Jz": float(jz)
|
| 293 |
+
},
|
| 294 |
+
"method": method,
|
| 295 |
+
"unit": "natural units (8 kpc * 220 km/s)"
|
| 296 |
+
}
|
| 297 |
+
except Exception as e:
|
| 298 |
+
return {"success": False, "error": str(e)}
|
| 299 |
+
|
| 300 |
+
# ============= Galaxy Dynamics Tools =============
|
| 301 |
+
|
| 302 |
+
@mcp.tool(name="calculate_circular_velocity", description="Calculate the circular velocity at a given radius in a potential.")
|
| 303 |
+
def calculate_circular_velocity(R: float, potential_type: str = "miyamoto_nagai",
|
| 304 |
+
amp: float = 1.0, a: float = 1.0, b: float = 0.1) -> dict:
|
| 305 |
+
"""
|
| 306 |
+
Calculate circular velocity at radius R.
|
| 307 |
+
|
| 308 |
+
Parameters:
|
| 309 |
+
- R: float - Galactocentric radius
|
| 310 |
+
- potential_type: str - Type of potential
|
| 311 |
+
- amp, a, b: Potential parameters
|
| 312 |
+
|
| 313 |
+
Returns:
|
| 314 |
+
- dict: Contains circular velocity or error
|
| 315 |
+
"""
|
| 316 |
+
try:
|
| 317 |
+
if potential_type.lower() == "miyamoto_nagai":
|
| 318 |
+
pot = MiyamotoNagaiPotential(amp=amp, a=a, b=b)
|
| 319 |
+
elif potential_type.lower() == "nfw":
|
| 320 |
+
pot = NFWPotential(amp=amp, a=a)
|
| 321 |
+
elif potential_type.lower() == "logarithmic":
|
| 322 |
+
pot = LogarithmicHaloPotential(amp=amp)
|
| 323 |
+
else:
|
| 324 |
+
pot = MiyamotoNagaiPotential(amp=amp, a=a, b=b)
|
| 325 |
+
|
| 326 |
+
vc = float(vcirc(pot, R))
|
| 327 |
+
|
| 328 |
+
return {
|
| 329 |
+
"success": True,
|
| 330 |
+
"result": vc,
|
| 331 |
+
"R": R,
|
| 332 |
+
"unit": "natural units (220 km/s = 1)"
|
| 333 |
+
}
|
| 334 |
+
except Exception as e:
|
| 335 |
+
return {"success": False, "error": str(e)}
|
| 336 |
+
|
| 337 |
+
@mcp.tool(name="calculate_frequencies", description="Calculate orbital frequencies (epicyclic, vertical, circular) at a given radius.")
|
| 338 |
+
def calculate_frequencies(R: float, potential_type: str = "miyamoto_nagai",
|
| 339 |
+
amp: float = 1.0, a: float = 1.0, b: float = 0.1) -> dict:
|
| 340 |
+
"""
|
| 341 |
+
Calculate orbital frequencies at radius R.
|
| 342 |
+
|
| 343 |
+
Parameters:
|
| 344 |
+
- R: float - Galactocentric radius
|
| 345 |
+
- potential_type: str - Type of potential
|
| 346 |
+
- amp, a, b: Potential parameters
|
| 347 |
+
|
| 348 |
+
Returns:
|
| 349 |
+
- dict: Contains epicyclic, vertical, and circular frequencies or error
|
| 350 |
+
"""
|
| 351 |
+
try:
|
| 352 |
+
if potential_type.lower() == "miyamoto_nagai":
|
| 353 |
+
pot = MiyamotoNagaiPotential(amp=amp, a=a, b=b)
|
| 354 |
+
elif potential_type.lower() == "nfw":
|
| 355 |
+
pot = NFWPotential(amp=amp, a=a)
|
| 356 |
+
else:
|
| 357 |
+
pot = MiyamotoNagaiPotential(amp=amp, a=a, b=b)
|
| 358 |
+
|
| 359 |
+
kappa = float(epifreq(pot, R)) # Epicyclic frequency
|
| 360 |
+
nu = float(verticalfreq(pot, R)) # Vertical frequency
|
| 361 |
+
omega = float(omegac(pot, R)) # Circular frequency
|
| 362 |
+
|
| 363 |
+
return {
|
| 364 |
+
"success": True,
|
| 365 |
+
"result": {
|
| 366 |
+
"epicyclic_frequency": kappa,
|
| 367 |
+
"vertical_frequency": nu,
|
| 368 |
+
"circular_frequency": omega
|
| 369 |
+
},
|
| 370 |
+
"R": R,
|
| 371 |
+
"unit": "natural units (1/time, where time unit ~ 4.7 Gyr)"
|
| 372 |
+
}
|
| 373 |
+
except Exception as e:
|
| 374 |
+
return {"success": False, "error": str(e)}
|
| 375 |
+
|
| 376 |
+
@mcp.tool(name="calculate_rotation_curve", description="Calculate the rotation curve of a galaxy model.")
|
| 377 |
+
def calculate_rotation_curve(R_min: float = 0.1, R_max: float = 3.0, n_points: int = 50,
|
| 378 |
+
potential_type: str = "miyamoto_nagai",
|
| 379 |
+
amp: float = 1.0, a: float = 1.0, b: float = 0.1) -> dict:
|
| 380 |
+
"""
|
| 381 |
+
Calculate the rotation curve (circular velocity vs radius).
|
| 382 |
+
|
| 383 |
+
Parameters:
|
| 384 |
+
- R_min, R_max: float - Range of radii to calculate
|
| 385 |
+
- n_points: int - Number of points
|
| 386 |
+
- potential_type: str - Type of potential
|
| 387 |
+
- amp, a, b: Potential parameters
|
| 388 |
+
|
| 389 |
+
Returns:
|
| 390 |
+
- dict: Contains arrays of R and v_circ or error
|
| 391 |
+
"""
|
| 392 |
+
try:
|
| 393 |
+
if potential_type.lower() == "miyamoto_nagai":
|
| 394 |
+
pot = MiyamotoNagaiPotential(amp=amp, a=a, b=b)
|
| 395 |
+
elif potential_type.lower() == "nfw":
|
| 396 |
+
pot = NFWPotential(amp=amp, a=a)
|
| 397 |
+
elif potential_type.lower() == "logarithmic":
|
| 398 |
+
pot = LogarithmicHaloPotential(amp=amp)
|
| 399 |
+
else:
|
| 400 |
+
pot = MiyamotoNagaiPotential(amp=amp, a=a, b=b)
|
| 401 |
+
|
| 402 |
+
Rs = np.linspace(R_min, R_max, n_points)
|
| 403 |
+
vcs = [float(vcirc(pot, r)) for r in Rs]
|
| 404 |
+
|
| 405 |
+
return {
|
| 406 |
+
"success": True,
|
| 407 |
+
"result": {
|
| 408 |
+
"R": Rs.tolist(),
|
| 409 |
+
"v_circular": vcs
|
| 410 |
+
},
|
| 411 |
+
"unit": "R in 8 kpc, v in 220 km/s"
|
| 412 |
+
}
|
| 413 |
except Exception as e:
|
| 414 |
return {"success": False, "error": str(e)}
|
| 415 |
|