The rotation period, pole direction, and scattering parameters of an asteroid can be deduced from its lightcurves simultaneously with the shape. Simulations and real data indicate that the result obtained with convex inversion is unique and stable if several lightcurves obtained at various geometrie
Optimization Methods for Asteroid Lightcurve Inversion: I. Shape Determination
β Scribed by M. Kaasalainen; J. Torppa
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 266 KB
- Volume
- 153
- Category
- Article
- ISSN
- 0019-1035
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β¦ Synopsis
We have developed new methods for determining the shapes (and albedo distributions), rotation periods, and pole directions (as well as other parameters, e.g., those of the scattering law) of asteroids from their lightcurves. This paper concentrates on shape determination. The recovered shapes are general and not based on modifications of any prior shape model. We produce test lightcurves of various nonconvex bodies with a fast ray-tracing algorithm. We show that the use of positive definite quantities effectively removes the apparent ill-posedness of the problem. Our methods can obtain convex hulls even for strongly nonconvex objects; major concavities can also be resolved.
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