Linearized relative motion equations through orbital element differences for general Keplerian orbits

Astrodynamics ◽  
2018 ◽  
Vol 2 (3) ◽  
pp. 201-215 ◽  
Author(s):  
Zhaohui Dang ◽  
Hao Zhang
Keyword(s):  
Relative Motion ◽  
Orbital Element ◽  
Motion Equations ◽  
Keplerian Orbits

A Discrete Sliding-Mode Guidance Law

2014 ◽  
Vol 137 (2) ◽  
Author(s):  
Di Zhou ◽  
Sheng Sun ◽  
Jing Yang Zhou ◽  
Kok Lay Teo
Keyword(s):  
Relative Motion ◽  
Finite Time ◽  
Sliding Mode ◽  
Discrete Form ◽  
Motion Equations ◽  
Guidance Law ◽  
Target Acceleration ◽  
Simulation Results

Based on the discrete form of the target-missile relative motion equations in plane, a discrete sliding-mode guidance (DSMG) law is proposed. All previous missile seeker's measurements are used in the design of the DSMG law to estimate the target acceleration such that noises in the seeker's measurements are effectively being smoothened. It is proved that the proposed DSMG law is finite time convergent. Quasi sliding-mode bands of the DSMG law are discussed, and the formula for calculating the terminal miss distances of the missile under the DSMG law are presented. Simulation results from a space interception process verify the effectiveness of the proposed method.

Relative Motion Between Satellites on Neighbouring Keplerian Orbits

2007 ◽  
Vol 30 (2) ◽  
pp. 521-528 ◽  
Author(s):  
Philip L. Palmer ◽  
Egemen Imre
Keyword(s):  
Relative Motion ◽  
Keplerian Orbits

Analysis of relative motion in non-Keplerian orbits via modified equinoctial elements

2016 ◽  
Vol 58 ◽  
pp. 389-400 ◽  
Author(s):  
Wei Wang ◽  
Giovanni Mengali ◽  
Alessandro A. Quarta ◽  
Jianping Yuan
Keyword(s):  
Relative Motion ◽  
Keplerian Orbits

scholarly journals Rotation-Rotation Mechanism moving with Respect to a Plane

2019 ◽  
Vol 11 (4) ◽  
pp. 123-131
Author(s):  
Roxana Alexandra PETRE ◽  
Ion STROE ◽  
Andrei CRAIFALEANU
Keyword(s):  
Relative Motion ◽  
Space Station ◽  
Robotic Arm ◽  
Lagrangian Formalism ◽  
Motion Equations ◽  
The Earth

The relative motion of a robotic arm formed by homogeneous bars of different lengths and masses, hinged to each other is investigated. The first bar of the mechanism is articulated on a platform, considered for three cases: placed on the surface of the Earth, so it is fixed; located on Earth, but in rotation with respect to it and in the final case, located on a space station, moving around the Earth. For all the analyzed cases the motion equations are determined using the Lagrangian formalism.

Application of the Nonlinear Tschauner-Hempel Equations to Satellite Relative Position Estimation and Control

2017 ◽  
Vol 71 (1) ◽  
pp. 44-64 ◽  
Author(s):  
Ranjan Vepa
Keyword(s):  
Relative Motion ◽  
Position Estimation ◽  
True Anomaly ◽  
Linear Quadratic ◽  
Control Laws ◽  
Motion Equations ◽  
Motion Models ◽  
Estimation And Control ◽  
Oblateness Effect ◽  
And Control

In this paper we develop the nonlinear motion equations in terms of the true anomaly varying Tschauner–Hempel equations relative to a notional orbiting particle in a Keplerian orbit, relatively close to an orbiting primary satellite to estimate the position of a spacecraft. A second orbiting body in Earth orbit relatively close to the first is similarly modelled. The dynamic relative motion models of the satellite and the second orbiting body, both of which are modelled in terms of independent relative motion equations, include several perturbing effects, such as the asymmetry of the Earth gravitational field resulting in the Earth's oblateness effect and the third body accelerations due to the Moon and the Sun. Linear control laws are synthesised for the primary satellite using the transition matrix so it can rendezvous with the second orbiting body. The control laws are then implemented using the state estimates obtained earlier to validate the feedback controller. Thus, we demonstrate the application of a Linear Quadratic Nonlinear Gaussian (LQNG) design methodology to the satellite rendezvous control design problem and validate it.

scholarly journals Second-Order Relative Motion Equations

2003 ◽  
Vol 26 (1) ◽  
pp. 41-49 ◽  
Author(s):  
Christopher D. Karlgaard ◽  
Frederick H. Lutze
Keyword(s):  
Relative Motion ◽  
Second Order ◽  
Motion Equations
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