Quadratic Hexa-Dimensional Solution for Relative Orbit Determination

Newman, Brett; Pratt, Ethan; Lovell, Alan; Duncan, Eric

doi:10.2514/6.2014-4309

Cited by 8 publications

(3 citation statements)

References 14 publications

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“…The first method consists in performing maneu-ver operations [14,15]. The second method consists in introducing a camera offset with respect to the center of mass of the chaser spacecraft [16]. The third method is to improve the modeling of the relative dynamics and measurement equations to improve the maneuver-free observability of angles-only navigation [17,18].…”

Section: Introductionmentioning

confidence: 99%

Optimal Maneuver Strategy to Improve the Observability of Angles-Only Rendezvous

Du,

Liao,

Zhang

2023

J. of Syst. Eng. Electron.

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This paper proposes an optimal maneuver strategy to improve the observability of angles-only rendezvous from the perspective of relative navigation. A set of dimensionless relative orbital elements (ROEs) is used to parameterize the relative motion, and the objective function of the observability of anglesonly navigation is established. An analytical solution of the optimal maneuver strategy to improve the observability of anglesonly navigation is obtained by means of numerical analysis. A set of dedicated semi-physical simulation system is built to test the performances of the proposed optimal maneuver strategy. Finally, the effectiveness of the method proposed in this paper is verified through the comparative analysis of the objective function of the observability of angles-only navigation and the performances of the angles-only navigation filter under different maneuver schemes. Compared with the cases without orbital maneuver, it is concluded that the tangential filtering accuracy with the optimal orbital maneuver at the terminal time is increased by 35% on average, and the radial and normal filtering accuracy is increased by 30% on average.

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Section: Introductionmentioning

confidence: 99%

Optimal Maneuver Strategy to Improve the Observability of Angles-Only Rendezvous

Du,

Liao,

Zhang

2023

J. of Syst. Eng. Electron.

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“…Gaias et al [1] investigated this topic from the point of the relative orbit elements. Newman et al [11,12] successfully applied second-order relative motion models to obtain observability. Sullivan et al [13] utilized an improved J2-perturbed dynamic model and nonlinear measurement model to demonstrate the feasibility of maneuver-free angles-only navigation.…”

Section: Lishuang@nuaaeducnmentioning

confidence: 99%

“…Then, a least-square solution to this set of overdetermined equations can be obtained from where the IROD solution would be abstracted as follows: (12) where…”

Section: Irod Solution Based On State Augmentation Least Squarementioning

confidence: 99%

Angles-only initial relative orbit determination algorithm for non-cooperative spacecraft proximity operations

Gong

et al. 2018

Astrodyn

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This research furthers the development of a closed-form solution to the angles-only initial relative orbit determination problem for non-cooperative target close-in proximity operations when the camera offset from the vehicle center-of-mass allows for range observability. In previous work, the solution to this problem had been shown to be non-global optimal in the sense of least square and had only been discussed in the context of Clohessy-Wiltshire. In this paper, the emphasis is placed on developing a more compact and improved solution to the problem by using state augmentation least square method in the context of the

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Review of space relative navigation based on angles-only measurements

Gong

Wang

et al. 2022

Astrodyn

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Quadratic Hexa-Dimensional Solution for Relative Orbit Determination

Cited by 8 publications

References 14 publications

Optimal Maneuver Strategy to Improve the Observability of Angles-Only Rendezvous

Optimal Maneuver Strategy to Improve the Observability of Angles-Only Rendezvous

Angles-only initial relative orbit determination algorithm for non-cooperative spacecraft proximity operations

Review of space relative navigation based on angles-only measurements

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