I shall deserve the Reputation of having beene ye first to lay the grounds of two Sciences,"wrote Thomas Hobbes in 1646,"this of Optiques and yt other of natural Justice."For him,optics and politics wer...I shall deserve the Reputation of having beene ye first to lay the grounds of two Sciences,"wrote Thomas Hobbes in 1646,"this of Optiques and yt other of natural Justice."For him,optics and politics were two prongs of the same effort:to naturalize humans’relations to their world and to each other.It was Descartes’Dioptrique,handed to him by Kenelm Digby in 1637,that cleared for him the path:naturalizing humans required physicalizing vision–as Kepler taught in his own optics–and removing from nature of all cognitive entities such as"species visible and intelligible."Between 1639 and 1646 Hobbes produced three professional,innovative treatises on optics founded upon"the opinion of the excellent Monsieur Des Cartes"but,finally,diverging from it in the most crucial point.For Descartes,ridding"Matter[of all]such Descriptions…as belong but to Spiritual Beings"required a spiritual,non-material entity to interpret the physical effects of the senses.Hobbes,however,insisted that the interpretation can and should be understood physically and mechanically,for"Vision is the judgement itself.展开更多
An initial orbit determination (IOD) solution from angles-only observations of a single short orbit arc is often required for applications such as tracklet association and fast reacquisition of a newly detected space ...An initial orbit determination (IOD) solution from angles-only observations of a single short orbit arc is often required for applications such as tracklet association and fast reacquisition of a newly detected space object. Modern optical observations can collect tens or even hundreds of data points over a short arc, thus enabling a large number of IOD solutions to be determined when using an IOD algorithm of 3 lines of sight (3-LOSs), such as the Gooding algorithm. It is necessary but difficult to find an optimal solution from a solution pool, particularly in the case of too short arc (TSA). Another issue in using 3-LOSs IOD methods is the neglect of perturbation effects on the observations. That is, 3-LOSs IOD methods are developed in the 2-body frame, but the observations are perturbed. Thus, the IOD solutions may have additional errors if the observations are not corrected for perturbation effects. In this study, we investigate the distribution of the semi-major axis and eccentricity of IOD solutions in a pool and find that choosing the solution with the maximum kernel density in the distribution is a much better way to determine the final solution from the pool. We also propose a technique to correct J2 secular effects on observed angle data. We use the Gooding algorithm as the basic 3-LOSs IOD algorithm to demonstrate the effectiveness of the proposed techniques in improving the IOD accuracy in the cases of short-arc ground-based observations and space-based simulation data.展开更多
文摘I shall deserve the Reputation of having beene ye first to lay the grounds of two Sciences,"wrote Thomas Hobbes in 1646,"this of Optiques and yt other of natural Justice."For him,optics and politics were two prongs of the same effort:to naturalize humans’relations to their world and to each other.It was Descartes’Dioptrique,handed to him by Kenelm Digby in 1637,that cleared for him the path:naturalizing humans required physicalizing vision–as Kepler taught in his own optics–and removing from nature of all cognitive entities such as"species visible and intelligible."Between 1639 and 1646 Hobbes produced three professional,innovative treatises on optics founded upon"the opinion of the excellent Monsieur Des Cartes"but,finally,diverging from it in the most crucial point.For Descartes,ridding"Matter[of all]such Descriptions…as belong but to Spiritual Beings"required a spiritual,non-material entity to interpret the physical effects of the senses.Hobbes,however,insisted that the interpretation can and should be understood physically and mechanically,for"Vision is the judgement itself.
基金supported by the National Natural Science Foundation of China(grant nos.12103035 and 12373083)the Fundamental Research Funds for the Central Universities(grant no.2042023gf0007).
文摘An initial orbit determination (IOD) solution from angles-only observations of a single short orbit arc is often required for applications such as tracklet association and fast reacquisition of a newly detected space object. Modern optical observations can collect tens or even hundreds of data points over a short arc, thus enabling a large number of IOD solutions to be determined when using an IOD algorithm of 3 lines of sight (3-LOSs), such as the Gooding algorithm. It is necessary but difficult to find an optimal solution from a solution pool, particularly in the case of too short arc (TSA). Another issue in using 3-LOSs IOD methods is the neglect of perturbation effects on the observations. That is, 3-LOSs IOD methods are developed in the 2-body frame, but the observations are perturbed. Thus, the IOD solutions may have additional errors if the observations are not corrected for perturbation effects. In this study, we investigate the distribution of the semi-major axis and eccentricity of IOD solutions in a pool and find that choosing the solution with the maximum kernel density in the distribution is a much better way to determine the final solution from the pool. We also propose a technique to correct J2 secular effects on observed angle data. We use the Gooding algorithm as the basic 3-LOSs IOD algorithm to demonstrate the effectiveness of the proposed techniques in improving the IOD accuracy in the cases of short-arc ground-based observations and space-based simulation data.
