Канал: Dmitry Savransky

A Short Cython Tutorial

A Short Cython Tutorial

4 - 3 - Lambert's Problem

4 - 3 - Lambert's Problem

5 - 5 - Orbit Orientation Changes and Combined Maneuvers

5 - 5 - Orbit Orientation Changes and Combined Maneuvers

1 - 2 - Reference Frames and Coordinate Systems

1 - 2 - Reference Frames and Coordinate Systems

1 - 5 - Vector Derivatives in Time

1 - 5 - Vector Derivatives in Time

1 - 6 - Newton-Euler Mechanics

1 - 6 - Newton-Euler Mechanics

1 - 7 - Moment of Inertia, Work, and Energy

1 - 7 - Moment of Inertia, Work, and Energy

2 - 1 - The Two-Body Problem

2 - 1 - The Two-Body Problem

1 - 8 - Hamilton's Principle and the Euler-Lagrange Equations

1 - 8 - Hamilton's Principle and the Euler-Lagrange Equations

2 - 2 - The Two-Body Solution

2 - 2 - The Two-Body Solution

2 - 3 - The Perifocal Frame

2 - 3 - The Perifocal Frame

2 - 4 - Kepler's Laws

2 - 4 - Kepler's Laws

2 - 5 - Specific Energy and Effective Potential

2 - 5 - Specific Energy and Effective Potential

3 - 1 - Kepler's Time Equation

3 - 1 - Kepler's Time Equation

3 - 2 - f and g functions

3 - 2 - f and g functions

3 - 3 - Open orbit propagation

3 - 3 - Open orbit propagation

3 - 4 - The Universal Variable

3 - 4 - The Universal Variable

3 - 5 - Universal Variable Propagation

3 - 5 - Universal Variable Propagation

3 - 6 - Orientation of the Perifocal Frame

3 - 6 - Orientation of the Perifocal Frame

3 - 7 - Solar System Reference Frames and Coordinate Systems

3 - 7 - Solar System Reference Frames and Coordinate Systems

3 - 8 - Time Systems

3 - 8 - Time Systems

4 - 1 - Gauss's Method

4 - 1 - Gauss's Method

4 - 2 - Gibbs Method

4 - 2 - Gibbs Method

4 - 4 - Lambert's Time of Flight Theorem

4 - 4 - Lambert's Time of Flight Theorem

1 - 3 - Vector Products and Tensors

1 - 3 - Vector Products and Tensors

1 - 4 - Multiple Reference Frames and Direction Cosine Matrices

1 - 4 - Multiple Reference Frames and Direction Cosine Matrices

4 - 5 - Lambert's Problem with Universal Variables

4 - 5 - Lambert's Problem with Universal Variables

5 - 1 - The Clohessy-Wiltshire Equations

5 - 1 - The Clohessy-Wiltshire Equations

5 - 2 - Natural and Forced Motion in the Hill Frame

5 - 2 - Natural and Forced Motion in the Hill Frame

5 - 3 - Small Perturbations from Circular Orbits

5 - 3 - Small Perturbations from Circular Orbits

5 - 4 - Impulsive Maneuvers and Co-Planar Orbital Transfers

5 - 4 - Impulsive Maneuvers and Co-Planar Orbital Transfers

5 - 6 - Gravitational Flybys

5 - 6 - Gravitational Flybys

6 - 1 - The Circular Restricted Three-Body Problem

6 - 1 - The Circular Restricted Three-Body Problem

6 - 2 - Lagrange Points

6 - 2 - Lagrange Points

6 - 3 - Stability of the Lagrange Points

6 - 3 - Stability of the Lagrange Points

6 - 4 - Poincare Maps

6 - 4 - Poincare Maps

6 - 5 - Motion about L4 and L5

6 - 5 - Motion about L4 and L5

6 - 6 - CR3BP Applications

6 - 6 - CR3BP Applications

7 - 1 - Perturbations Roadmap and Encke's Method

7 - 1 - Perturbations Roadmap and Encke's Method

7 - 2 - Cowell's Method

7 - 2 - Cowell's Method

7 - 3 - Series Expansion of the Disturbing Function

7 - 3 - Series Expansion of the Disturbing Function

7 - 4 - Sphere of Influence

7 - 4 - Sphere of Influence

7 - 5 - Variation of Parameters

7 - 5 - Variation of Parameters

7 - 6 - Gauss's Perturbation Equations

7 - 6 - Gauss's Perturbation Equations

8 - 1 - D'Alembert's Principle and the Euler-Lagrange Equations

8 - 1 - D'Alembert's Principle and the Euler-Lagrange Equations

8 - 2 - Hamilton's Equations

8 - 2 - Hamilton's Equations

8 - 3 - The Hamilton-Jacobi Equation

8 - 3 - The Hamilton-Jacobi Equation

8 - 4 - Central Force Motion in 2D

8 - 4 - Central Force Motion in 2D

9 - 1 - Central Force Motion in 3D and Delaunay Elements

9 - 1 - Central Force Motion in 3D and Delaunay Elements

9 - 2 - Symplectic Representation of Hamiltonians and Lagrange's Planetary Equations

9 - 2 - Symplectic Representation of Hamiltonians and Lagrange's Planetary Equations

10 - 1 - Orbiting About Extended Bodies and the Geopotential of Azimuthally Symmetric Bodies

10 - 1 - Orbiting About Extended Bodies and the Geopotential of Azimuthally Symmetric Bodies

10 - 2 - Geopotential of Arbitrary Bodies

10 - 2 - Geopotential of Arbitrary Bodies

10 - 3 - J2 Perturbations

10 - 3 - J2 Perturbations

10 - 4 - Nodal Regression and Apsidal Rotation

10 - 4 - Nodal Regression and Apsidal Rotation

10 - 5 - J2 Perturbations in Orbit Design

10 - 5 - J2 Perturbations in Orbit Design

10 - 6 - Geopotential Forces, Precession of the Equinox, and the Roche Limit

10 - 6 - Geopotential Forces, Precession of the Equinox, and the Roche Limit

10 - 7 - Atmospheric Drag

10 - 7 - Atmospheric Drag

10 - 8 - Modeling the Atmosphere

10 - 8 - Modeling the Atmosphere

10 - 9 - Other Perturbation Effects

10 - 9 - Other Perturbation Effects

11 - 1 - Numerical Integration of Initial Value Problems and Euler's Methods

11 - 1 - Numerical Integration of Initial Value Problems and Euler's Methods

11 - 2 - Multi-step methods, Runge-Kutta, and Sequence Acceleration

11 - 2 - Multi-step methods, Runge-Kutta, and Sequence Acceleration

11 - 3 - Numerical Integration of Hamiltonian Systems and Liouville's Theorem

11 - 3 - Numerical Integration of Hamiltonian Systems and Liouville's Theorem

11 - 4 - The Symplectic Nature of Hamiltonian Systems

11 - 4 - The Symplectic Nature of Hamiltonian Systems

11 - 5 - A Brief History of Symplectic Integration

11 - 5 - A Brief History of Symplectic Integration

11 - 6 - Symplectic Integration of N-Body Systems and Mixed-Variable Symplectic Integrators

11 - 6 - Symplectic Integration of N-Body Systems and Mixed-Variable Symplectic Integrators

11 - 7 - Multi Time Step and Hybrid Symplectic Integrators

11 - 7 - Multi Time Step and Hybrid Symplectic Integrators

11 - 8 - Higher-order Numerical Integration and Gauss-Radau Quadrature

11 - 8 - Higher-order Numerical Integration and Gauss-Radau Quadrature

11 - 9 - Numerical Methods for Trajectory Optimization and Nonlinear Programming

11 - 9 - Numerical Methods for Trajectory Optimization and Nonlinear Programming

11 - 10 - Optimal Control

11 - 10 - Optimal Control

11 - 11 - Shooting Methods and Fuel-Optimal Trajectories

11 - 11 - Shooting Methods and Fuel-Optimal Trajectories

11 - 12 - Energy-Optimal Trajectories, Examples, and Optimization Resources

11 - 12 - Energy-Optimal Trajectories, Examples, and Optimization Resources

12 - 1 - Return of the Disturbing Function

12 - 1 - Return of the Disturbing Function

12 - 2 - Second-order Expansion of the Disturbing Function

12 - 2 - Second-order Expansion of the Disturbing Function

12 - 3 - Secular Terms

12 - 3 - Secular Terms

12 - 4 - Resonant Terms and the D'Alembert Relation

12 - 4 - Resonant Terms and the D'Alembert Relation

12 - 5 - Laplace-Lagrange Secular Solution

12 - 5 - Laplace-Lagrange Secular Solution

12 - 6 - Free and Forced Elements

12 - 6 - Free and Forced Elements

12 - 7 - Secular Resonance and Resonant Perturbations

12 - 7 - Secular Resonance and Resonant Perturbations

12 - 8 - Resonance in the CR3BP

12 - 8 - Resonance in the CR3BP

1 - 1 - Newton's Laws and Vectors

1 - 1 - Newton's Laws and Vectors

Large Tadpole Orbit in the Circular Restricted 3-Body Problem (CR3BP)

Large Tadpole Orbit in the Circular Restricted 3-Body Problem (CR3BP)

Horseshoe Orbit in the Circular Restricted 3-Body Problem (CR3BP)

Horseshoe Orbit in the Circular Restricted 3-Body Problem (CR3BP)

Approximate Horseshoe Orbit in the Circular Restricted 3-Body Problem (CR3BP)

Approximate Horseshoe Orbit in the Circular Restricted 3-Body Problem (CR3BP)

Stable Quasi-Periodic Secondary Orbit in Circular Restricted 3-Body Problem (CR3BP)

Stable Quasi-Periodic Secondary Orbit in Circular Restricted 3-Body Problem (CR3BP)

Unstable Orbit in the Circular Restricted 3-Body Problem (CR3BP)

Unstable Orbit in the Circular Restricted 3-Body Problem (CR3BP)

Stable Quasi-Periodic Orbit in the Circular Restricted 3-Body Problem (CR3BP)

Stable Quasi-Periodic Orbit in the Circular Restricted 3-Body Problem (CR3BP)

Stable Near-Periodic Orbit in the Circular Restricted 3-Body Problem (CR3BP)

Stable Near-Periodic Orbit in the Circular Restricted 3-Body Problem (CR3BP)

Spacecraft Nutation Damping Animation

Spacecraft Nutation Damping Animation

Methods of Exoplanet Detection

Methods of Exoplanet Detection

A Brief History of Exoplanet Exploration (2021)

A Brief History of Exoplanet Exploration (2021)

A 30 Second History of Exoplanet Exploration (2020)

A 30 Second History of Exoplanet Exploration (2020)

A 30 Second History of Exoplanet Exploration

A 30 Second History of Exoplanet Exploration

Night Sky from Cerro Pachon

Night Sky from Cerro Pachon

Gemini South Telescope

Gemini South Telescope

Gemini South Instrument Mount

Gemini South Instrument Mount

Gemini South Sky Time Lapse

Gemini South Sky Time Lapse

Gemini South Sky Time Lapse

Gemini South Sky Time Lapse