<i>Satellite Orbits: Models, Methods, and Applications</i>

Montenbruck, Oliver; Gill, Eberhard

doi:10.1115/1.1451162

Cited by 565 publications

(718 citation statements)

References 0 publications

Supporting

Mentioning

702

Contrasting

Unclassified

Order By: Relevance

“…The force model, which was used in corresponding equations of motion on passive arcs, is reflected in Table A.1. We only go into detail about the SRP model, since the models of other perturbations are fairly common (see, e.g., Motenbruck & Gill 2001). The SRP model is based on the analytical calculation of solar flux pressure, which is divided into absorbed, reflected specularly and reflected diffusely parts.…”

Section: Appendix A: Dynamical Model Of Radioastron Motionmentioning

confidence: 99%

RadioAstron as a target and as an instrument: Enhancing the Space VLBI mission’s scientific output

Duev

Zakhvatkin

Stepanyants

et al. 2015

A&A

View full text Add to dashboard Cite

Context. The accuracy of orbit determination has a strong impact on the scientific output of the Space VLBI mission RadioAstron. Aims. The aim of this work is to improve the RadioAstron orbit reconstruction by means of sophisticated dynamical modelling of its motion in combination with multi-station Doppler tracking of the RadioAstron spacecraft. Methods. The improved orbital solution is demonstrated using Doppler measurements of the RadioAstron downlink signal and by correlating VLBI observations made by RadioAstron with ground-based telescopes using the enhanced orbit determination data. Results. Orbit determination accuracy has been significantly improved from ∼600 m in 3D position and ∼2 cm/s in 3D velocity to several tens of metres and mm/s, respectively.

show abstract

Section: Appendix A: Dynamical Model Of Radioastron Motionmentioning

confidence: 99%

RadioAstron as a target and as an instrument: Enhancing the Space VLBI mission’s scientific output

Duev

Zakhvatkin

Stepanyants

et al. 2015

A&A

View full text Add to dashboard Cite

show abstract

“…A linear approximation to this transformation can be used quite reliably if the covariance is sufficiently small. Montenbruck outlines an analytic derivation of the partial derivative of a state, x, with respect to the orbital elements, α [11]. The orbital element covariance can then be transformed into a state covariance using the formula…”

Section: Orbital Elements and Covariancesmentioning

confidence: 99%

“…Orbits are often defined by sets of 6 orbital elements [9,10,11,12]. In one common set, the semi-major axis and eccentricity of an ellipse are used to define the shape of the orbit.…”

Section: Orbital Elements and Covariancesmentioning

confidence: 99%

Terrain-Relative and Beacon-Relative Navigation for Lunar Powered Descent and Landing

Christensen

Geller

2011

J of Astronaut Sci

View full text Add to dashboard Cite

As NASA prepares to return humans to the moon and establish a long-term presence on the surface, technologies must be developed to access previously unvisited terrain regardless of the condition. Among these technologies is a guidance, navigation and control (GNC) system capable of safely and precisely delivering a spacecraft, whether manned or robotic, to a predetermined landing area. This thesis presents detailed research of both terrain-relative navigation using a terrain-scanning instrument and beacon-relative radiometric navigation using beacons in lunar orbit or on the surface of the moon. The models for these sensors are developed along with a baseline sensor suite that includes an altimeter, IMU, velocimeter, and star camera. Linear covariance analysis is used to rapidly perform the trade studies relevant to this problem and to provide the navigation performance data necessary to determine which navigation method is best suited to support a 100 m 3-σ navigation requirement for landing anytime and anywhere on the moon.(90 pages) iv

show abstract

“…But the time update equation for the state error covariance is changed due to the presence of process noise. The modified covariance propagation formula can be obtained with the state transition matrix Φ in the following way (Montenbruck and Gill, 2000)…”

Section: N Av I G At I O N F I L T E R a L G O R I T H Mmentioning

confidence: 99%

Navigation Performance of the Libration Point Satellite Navigation System in Cislunar Space

Zhang

2014

J. Navigation

View full text Add to dashboard Cite

Based on the candidate architectures of the libration point satellite navigation system proposed in our previous work, a navigation performance study is conducted in this paper to verify the cislunar navigation ability of the proposed system. Using scalar satellite-to-satellite range measurement between the user and libration point navigation satellites, a virtual lunar exploration mission scenario is developed to verify the navigation performance of the candidate Earth-Moon L 1,2,4,5 four-satellite constellations. The simulation results indicate that the libration point satellite navigation system is available for cislunar navigation and the navigation accuracy of a few tens of metres can be achieved for both the trans-lunar cruise and lunar orbit phase. Besides that, it is also found that the navigation accuracy of the libration point satellite navigation system is sensitive to the orbit of the L 1 satellite. Once the L 1 navigation satellite is located in the Halo orbit or vertical Lyapunov orbit, the proposed system can present a better navigation performance in cislunar space. K E Y WO R D S 1. Libration point satellite.2. Autonomous navigation. 3. Cislunar space. 4. Numerical simulation.

show abstract

Satellite Orbits: Models, Methods, and Applications

Cited by 565 publications

References 0 publications

RadioAstron as a target and as an instrument: Enhancing the Space VLBI mission’s scientific output

RadioAstron as a target and as an instrument: Enhancing the Space VLBI mission’s scientific output

Terrain-Relative and Beacon-Relative Navigation for Lunar Powered Descent and Landing

Navigation Performance of the Libration Point Satellite Navigation System in Cislunar Space

Contact Info

Product

Resources

About