poisson_warp 0.0.5+5 
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Symplectic Euler high-precision N-body simulation.
Poisson Warp #
Symplectic Euler high-precision N-body simulation. Software Hecho en Puerto Rico por Radamés Jomuel Valentín Reyes con la ayuda de Gemini.
Core Classes & Methods #
Vector3 #
A high-precision 3D vector class supporting arbitrary-precision arithmetic.
- Methods:
add,subtract,multiply, andmagnitude.
Body #
Represents a celestial object.
- Properties:
name,gm(gravitational parameter),position,velocity, andproperTimeExperienced.
Antikythera #
The primary simulation engine.
simulateMotion: Implements a Symplectic Euler integrator (Semi-Implicit Euler). It uses a staggered update (Velocity First → Position Second) to preserve phase-space volume and ensure long-term orbital stability.calculateBarycenter: A utility method to find the system's center of mass based on the current gravitational distribution.rotateToEquatorialFrame: Transforms coordinate vectors to account for Earth's axial tilt (obliquity).
Usage & Implementation #
High-Precision Orbital Simulation #
To maintain stability, the engine utilizes the "code flip" principle, ensuring orbits do not spiral outward over long durations. Fetched data from NASA Horizons API to test method.
final Antikythera sim = Antikythera(bodies: initial);
final BigDec duration = BigDec.fromString("1209600")..setDecimalPrecision(dp); // 15 days
// Execute Symplectic Integration
sim.simulateMotion(
durationInSeconds: duration,
steps: BigInt.from(50000),
decimalPlaces: dp
);
//Expanded Validation Test
//This example demonstrates fetching high-fidelity state vectors from NASA Horizons and validating the simulation against "truth" data.
test("Full System Alignment Validation", () async {
final nasa = NASAHorizonsService();
const int dp = 200;
// Example Configuration including Moons
final List<Map<String, String>> bodiesConfig = [
{"id": "10", "name": "Sun"},
{"id": "199", "name": "Mercury"},
{"id": "399", "name": "Earth"},
{"id": "301", "name": "Moon"},
{"id": "4", "name": "Mars Barycenter"},
];
final DateTime t0 = DateTime(2005, 1, 1);
final List<Body> initial = [];
for (final cfg in bodiesConfig) {
initial.add(await nasa.fetchBody(cfg["id"]!, cfg["name"]!, t0, t0));
}
final Antikythera sim = Antikythera(bodies: initial);
final BigDec duration = BigDec.fromString("1209600"); // 15 days
sim.simulateMotion(durationInSeconds: duration, steps: BigInt.from(100000), decimalPlaces: dp);
for (var body in initial) {
print("${body.name} Final Position: ${body.position.x}, ${body.position.y}, ${body.position.z}");
}
});
Test results #
Mercury Distance: 0.598471688991146 AU
Venus Distance: 0.778193847646027 AU
Earth Distance: 1.012776034208995 AU
Moon Distance: 1.008962515323189 AU
Mars Distance: 1.563778329605912 AU
Jupiter Distance: 5.455510629116387 AU
Saturn Distance: 9.059694468740320 AU
Uranus Distance: 20.059031731107295 AU
Neptune Distance: 30.065865881193228 AU
References #
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Symplectic Euler high-precision N-body simulation.
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