1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
//! # nyx-space
//!
//! [Nyx](https://en.wikipedia.org/wiki/Nyx) is a high fidelity, fast, reliable and validated astrodynamical toolkit library written in Rust.
//! It will _eventually_ provide most functionality in Python for rapid prototyping.
//!
//! The target audience is researchers and astrodynamics engineers. The rationale for using Rust is to allow for very fast computations, guaranteed thread safety,
//! and portability to all platforms supported by [Rust](https://forge.rust-lang.org/platform-support.html).
//!
//! To some extend, the ultimate goal of this library is to retire [SPICE Toolkit](https://naif.jpl.nasa.gov/naif/toolkit.html).
//!
//! NOTE: It is recommended to compile all code in `nyx` with the `--release` flag. A lot of heavy
//! computation is done in this library, and no one likes waiting for production code to run.
//! ## Features
//!
//!  * Propagators / Integrators of equations of motions (cf. the `propagators` module)
//!  * Two Body dynamics with planets defined as in GMAT / STK.
//!  * Angular momentum dynamics for a rigid body
//!  * Convenient and explicit definition of the dynamics for a simulation (cf. the [dynamics documentation](./dynamics/index.html))
//!  * Orbital state definition with transformations to other frames
//!
//! ## Usage
//!
//! Put this in your `Cargo.toml`:
//!
//! ```toml
//! [dependencies]
//! nyx-space = "0.0.4"
//! ```
//!
//! And add the following to your crate root:
//!
//! ```rust
//! extern crate nyx_space as nyx;
//! ```

/// Provides all the propagators / integrators available in `nyx`.
///
/// # Custom derivative function example
/// ```
/// extern crate nalgebra;
/// extern crate nyx_space as nyx;
/// use nalgebra::{U1, U3, Vector6};
///
/// fn two_body_dynamics(_t: f64, state: &Vector6<f64>) -> Vector6<f64> {
///     let radius = state.fixed_slice::<U3, U1>(0, 0);
///     let velocity = state.fixed_slice::<U3, U1>(3, 0);
///     let body_acceleration = (-398_600.441500000015366822 / radius.norm().powi(3)) * radius;
///     Vector6::from_iterator(velocity.iter().chain(body_acceleration.iter()).cloned())
/// }
///
/// fn main() {
///     use std::f64;
///     use nyx::propagators::{Dormand45, error_ctrl, Options, Propagator};
///     let prop_time = 24.0 * 3_600.0;
///     let accuracy = 1e-12;
///     let min_step = 0.1;
///     let max_step = 30.0;
///     // Initial spacecraft state
///     let mut init_state =
///         Vector6::from_row_slice(&[-2436.45, -2436.45, 6891.037, 5.088611, -5.088611, 0.0]);
///     // Final expected spaceraft state
///     let rslt = Vector6::from_row_slice(&[
///         -5971.194191821826,
///         3945.506657649147,
///         2864.636612371127,
///         0.049096952217479194,
///         -4.1850933148636145,
///         5.848940870294863,
///     ]);
///
///     let mut cur_t = 0.0;
///     let mut prop = Propagator::new::<Dormand45>(&Options::with_adaptive_step(0.1, 30.0, 1e-12));
///     loop {
///         let (t, state) = prop.derive(
///             cur_t,
///             &init_state,
///             two_body_dynamics,
///             error_ctrl::rss_state_pos_vel,
///         );
///         if t < prop_time {
///             // We haven't passed the time based stopping condition.
///             cur_t = t;
///             init_state = state;
///         } else {
///             // At this point, we've passed the condition, so let's switch to a fixed step of _exactly_ the
///             // previous time step minus the amount by which we overshot. This allows us to propagate in time for
///             // _exactly_ the time we want to propagate for.
///             let prev_details = prop.latest_details().clone();
///             let overshot = t - prop_time;
///             prop.set_fixed_step(prev_details.step - overshot);
///             // Take one final step
///             let (t, state) = prop.derive(
///                 cur_t,
///                 &init_state,
///                 two_body_dynamics,
///                 error_ctrl::rss_state_pos_vel,
///             );
///
///             assert!(
///                 (t - prop_time).abs() < 1e-12,
///                 "propagated for {} instead of {}",
///                 t,
///                 prop_time
///             );
///
///             // Let's check that, prior to the refined step, we either hit the accuracy wanted,
///             // or we are using the minimum step size.
///             if prev_details.error > accuracy {
///                 assert!(prev_details.step - min_step < f64::EPSILON);
///             }
///
///             assert_eq!(state, rslt, "leo prop failed");
///             break;
///         }
///     }
/// }
/// ```
pub mod propagators;

/// Provides several dynamics used for orbital mechanics and attitude dynamics, which can be elegantly combined.
///
/// # Simple two body propagation
/// ```
/// extern crate nalgebra as na;
/// extern crate hifitime;
/// extern crate nyx_space as nyx;
///
/// fn main() {
///     use nyx::propagators::*;
///     use nyx::celestia::{State, EARTH, ECI};
///     use nyx::dynamics::Dynamics;
///     use nyx::dynamics::celestial::TwoBody;
///     use self::na::Vector6;
///     use std::f64;
///     use hifitime::SECONDS_PER_DAY;
///     use hifitime::julian::ModifiedJulian;
///
///     let prop_time = 24.0 * 3_600.0;
///     let accuracy = 1e-12;
///     let min_step = 0.1;
///     let max_step = 60.0;
///
///     let dt = ModifiedJulian { days: 21545.0 };
///     let initial_state = State::from_cartesian_eci(-2436.45, -2436.45, 6891.037, 5.088611, -5.088611, 0.0, dt);
///
///     println!("Initial state:\n{0}\n{0:o}\n", initial_state);
///
///     let rslt = State::from_cartesian_eci(
///         -5971.1941916712285,
///         3945.5066532419537,
///         2864.636618390466,
///         0.04909695760948815,
///         -4.1850933184621315,
///         5.848940867758592,
///         ModifiedJulian { days: 21546.0 }
///     );
///
///     let mut prop = Propagator::new::<RK89>(&Options::with_adaptive_step(min_step, max_step, accuracy));
///     let mut dyn = TwoBody::from_state_vec::<EARTH>(initial_state.to_cartesian_vec());
///     prop.until_time_elapsed(prop_time, &mut dyn, error_ctrl::rss_step_pos_vel);
///
///     let final_dt = ModifiedJulian {
///         days: dt.days + dyn.time() / SECONDS_PER_DAY,
///     };
///     let final_state = State::from_cartesian_vec::<EARTH, ModifiedJulian>(&dyn.state(), final_dt, ECI {});
///     assert_eq!(final_state, rslt, "two body prop failed",);
///
///     println!("Final state:\n{0}\n{0:o}", final_state);
/// }
/// ```
///
/// # Combining dynamics in a full spacecraft model.
/// ```
/// extern crate nalgebra as na;
/// extern crate hifitime;
/// extern crate nyx_space as nyx;
///
/// // Warning: this is arguably a bad example: attitude dynamics very significantly
/// // faster than orbital mechanics. Hence you really should use different propagators
/// // for the attitude and orbital position and velocity.
/// // If you run this example, you'll notice that the step size used ends up being absolutely tiny
/// // which is needed for the attitude, but not for the astrodynamics (on my machine I'm at 0.04376 seconds).
/// use self::nyx::dynamics::Dynamics;
/// use self::nyx::dynamics::celestial::TwoBody;
/// use self::nyx::dynamics::momentum::AngularMom;
/// use self::nyx::celestia::{State, EARTH, ECI};
/// use self::nyx::propagators::{error_ctrl, CashKarp45, Options, Propagator};
/// use self::na::{Matrix3, U3, U6, U9, Vector3, Vector6, VectorN};
/// use std::f64;
/// use hifitime::julian::ModifiedJulian;
///
/// // In the following struct, we only store the dynamics because this is only a proof
/// // of concept. An engineer could add more useful information to this struct, such
/// // as a short cut to the position or an attitude.
/// #[derive(Clone)]
/// pub struct PosVelAttMom<'a> {
///     pub twobody: TwoBody<'a>,
///     pub momentum: AngularMom,
/// }
///
/// impl<'a> Dynamics for PosVelAttMom<'a> {
///     type StateSize = U9;
///     fn time(&self) -> f64 {
///         // Both dynamical models have the same time because they share the propagator.
///         self.twobody.time()
///     }
///
///     fn state(&self) -> VectorN<f64, Self::StateSize> {
///         let twobody_state = self.twobody.state();
///         let momentum_state = self.momentum.state();
///         // We're channing both states to create a combined state.
///         // The most important part here is make sure that the `state` and `set_state` handle the state in the same order.
///         <VectorN<f64, U9>>::from_iterator(
///             twobody_state.iter().chain(momentum_state.iter()).cloned(),
///         )
///     }
///
///     fn set_state(&mut self, new_t: f64, new_state: &VectorN<f64, Self::StateSize>) {
///         self.twobody
///             .set_state(new_t, &new_state.fixed_rows::<U6>(0).into_owned());
///         self.momentum
///             .set_state(new_t, &new_state.fixed_rows::<U3>(6).into_owned());
///     }
///
///     fn eom(&self, _t: f64, state: &VectorN<f64, Self::StateSize>) -> VectorN<f64, Self::StateSize> {
///         let dpos_vel_dt = self.twobody
///             .eom(_t, &state.fixed_rows::<U6>(0).into_owned());
///         let domega_dt = self.momentum
///             .eom(_t, &state.fixed_rows::<U3>(6).into_owned());
///         <VectorN<f64, U9>>::from_iterator(dpos_vel_dt.iter().chain(domega_dt.iter()).cloned())
///     }
/// }
///
/// // Let's initialize our combined dynamics.
/// fn main() {
///     let prop_time = 3_600.0;
///     let accuracy = 1e-13;
///     let min_step = 0.01;
///     let max_step = 60.0;
///
///     let dyn_twobody = TwoBody::from_state_vec::<EARTH>(Vector6::new(
///         -2436.45, -2436.45, 6891.037, 5.088611, -5.088611, 0.0,
///     ));
///     let omega = Vector3::new(0.1, 0.4, -0.2);
///     let tensor = Matrix3::new(10.0, 0.0, 0.0, 0.0, 5.0, 0.0, 0.0, 0.0, 2.0);
///     let dyn_mom = AngularMom::from_tensor_matrix(&tensor, &omega);
///
///     let mut full_model = PosVelAttMom {
///         twobody: dyn_twobody,
///         momentum: dyn_mom,
///     };
///
///     let init_momentum = full_model.momentum.momentum().norm();
///     let mom_tolerance = 1e-8;
///
///     // And now let's define the propagator and propagate for a short amount of time.
///     let mut prop =
///         Propagator::new::<CashKarp45>(&Options::with_adaptive_step(min_step, max_step, accuracy));
///
///     prop.until_time_elapsed(prop_time, &mut full_model, error_ctrl::largest_error::<U9>);
///
///     let prev_details = prop.latest_details().clone();
///     println!("{:?}", prev_details);
///     if prev_details.error > accuracy {
///         assert!(
///             prev_details.step - min_step < f64::EPSILON,
///             "step size should be at its minimum because error is higher than tolerance: {:?}",
///             prev_details
///         );
///     }
///
///     let delta_mom = ((full_model.momentum.momentum().norm() - init_momentum) / init_momentum).abs();
///     if delta_mom > mom_tolerance {
///         panic!(
///             "angular momentum prop failed: momentum changed by {:e} (> {:e})",
///             delta_mom, mom_tolerance
///         );
///     }
///
///     println!("Final momentum: {:?}", full_model.momentum.momentum());
///
///     println!(
///         "Final orbital state:\n{0}\n{0:o}",
///         State::from_cartesian_vec::<EARTH, ModifiedJulian>(
///             &full_model.twobody.state(),
///             ModifiedJulian { days: 21545.0 },
///             ECI {}
///         )
///     );
/// }
/// ```
pub mod dynamics;

/// Provides the solar system planets, and state and (later) ephemeride management.
///
/// # State creation and management
/// ```
/// extern crate hifitime;
/// extern crate nyx_space as nyx;
///
/// fn main(){
///     use hifitime::julian::ModifiedJulian;
///     use nyx::celestia::{State, EARTH, ECI};
///     let dt = ModifiedJulian { days: 21545.0 };
///     // The parameter is anything which implements `CelestialBody`.
///     // In this case, we're creating these states around Earth.
///     let cart = State::from_cartesian::<EARTH, ModifiedJulian>(
///         5946.673548288958,
///         1656.154606023661,
///         2259.012129598249,
///         -3.098683050943824,
///         4.579534132135011,
///         6.246541551539432,
///         dt,
///         ECI {},
///     );
///     let cart_simple = State::from_cartesian_eci(
///         5946.673548288958,
///         1656.154606023661,
///         2259.012129598249,
///         -3.098683050943824,
///         4.579534132135011,
///         6.246541551539432,
///         dt,
///     );
///     let kep = State::from_keplerian::<EARTH, ModifiedJulian>(
///         7712.186117895041,
///         0.15899999999999995,
///         53.75369,
///         1.99863286421117e-05,
///         359.787880000004,
///         25.434003407751188,
///         dt,
///         ECI {},
///     );
///     // We can check whether two states are equal.
///     if cart != kep {
///         panic!("This won't happen");
///     }
///     if cart != cart_simple {
///         panic!("This won't happen either");
///     }
///     // Of more interest, we can fetch specific orbital elements.
///     println!("sma = {} km   inc = {} degrees", cart.sma(), cart.inc());
///     // Note that the state data is stored as X, Y, Z, VX, VY, VZ.
///     // Hence, the following print statement may display some rounded values despite
///     // being created with fixed values. GMAT has the same "issue"
///     // (but `nyx` won't change your script).
///     println!("ecc = {} km   RAAN = {} degrees", kep.ecc(), cart.raan());
/// }
/// ```
pub mod celestia;

/// Include utility functions shared by different modules, and which may be useful to engineers.
pub mod utils;

/// Provides all the input/output needs for this library, including loading of SPICE kernels, and gravity potential files.
pub mod io;

/// Provides all the orbital determination tools.
pub mod od;

#[macro_use]
extern crate log;