Orbit Determination Concepts

Tapley, B. D.; Schutz, B. E.; Born, George H.

doi:10.1016/b978-012683630-1/50020-5

Cited by 149 publications

(82 citation statements)

References 3 publications

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“…Therefore, it is desirable to develop a framework for tomography which gives a reconstruction that is explicitly a function of time. One possible framework for this is called Kalman filtering, widely used for time-dependent estimation problems (such as tracking satellites) since its introduction in 1960 (e.g., Kalman, 1960;Anderson and Moore, 1979;Tapley, Schutz, and Born, 2004). As Kailath, Sayed, and Hassibi (2000) explain, Kalman filtering is a form of MAP estimation (see Section 5).…”

Section: State-space Estimation Time Dependence and Srtmentioning

confidence: 97%

“…They used 3 days of EIT data at 17.1 and 19.5 nm to determine the 3D geometries, temperatures and densities of a nested complex of active region loops. Aschwanden and Acton (2001) presented a method called temperature tomography in which they used the two Yohkoh Soft X-ray Telescope (SXT; Tsuneta et al, 1991) filter bands to model the spatial distribution of density and temperature. Their model did not take advantage of solar rotation and instead assumed azimuthal symmetry and a Gaussian temperature (multi-scale height) distribution.…”

Section: Euv Tomographymentioning

confidence: 99%

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Rotational Tomography For 3d Reconstruction Of The White-Light And Euv Corona In The Post-Soho Era

Frazin

Kamalabadi

2005

Sol Phys

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Improving our understanding of the mechanisms that energize the solar wind and heat structures in the solar corona requires the development of empirical methods that can determine the three-dimensional (3D) temperature and density distributions with as much spatial and temporal resolution as possible. This paper reviews the solar rotational tomography (SRT) methods that will be used for 3D reconstruction of the solar corona from data obtained by the next generation of spacebased missions such as the Solar and Terrestrial Relations Observatory (STEREO), Solar-B and the Solar Dynamics Observatory (SDO). In the next decade, SRT will undergo rapid advancement on several frontiers of 3D image reconstruction:1. Electron density reconstruction from white-light coronagraph images. 2. Differential emission measure (DEM) reconstruction from EUV images. 3. Dual-spacecraft (STEREO) observing geometry. 4. Fusion of data from multiple spacecraft with differing instrumentation. 5. Time-dependent estimation methods.Although the principles described apply to many different wavelength regimes, this paper concentrates on white-light and EUV data. Previous work on all of these subjects is reviewed, and major technical issues and future directions are discussed.

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Section: State-space Estimation Time Dependence and Srtmentioning

confidence: 97%

Section: Euv Tomographymentioning

confidence: 99%

Rotational Tomography For 3d Reconstruction Of The White-Light And Euv Corona In The Post-Soho Era

Frazin

Kamalabadi

2005

Sol Phys

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“…The solution of Eq. (19) is also the maximum likelihood estimation for the single-object orbit determination [2] .…”

Section: Maximum Likelihood Estimationmentioning

confidence: 99%

Orbit Determination of Mixed Observations of Multiple Objects1,2

Wang

2015

Chinese Astronomy and Astrophysics

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“…On the other hand, the solar day is the time taken for the Earth to rotate 360 • with respect to the Sun. In this manner, the nodal day is the time interval that the Earth rotates 360 • with respect to the orbital line of nodes [18], the line joining the ascending node to the descending node.…”

Section: Different Definitions Of Period and Mean Motionmentioning

confidence: 99%