### Abstract

In this paper, the Uncertain Lambert Problem is solved using higher order polynomial series instead of the conventional first order one used in linear analysis. Coefficients of the polynomial series are computed in a Jacobian free manner, providing a computationally tractable approach. This polynomial series is exploited to compute the density function for the Lambert solution given the probability density function for initial and final position vector. Non product quadrature method known as the Conjugate Unscented Transformation (CUT) approach is used to construct coefficients of polynomial series by solving a minimal number of Lambert problems through the intelligent sampling of the uncertain initial and final position vector space. Numerical simulation results are presented to validate the proposed approach.

Original language | English (US) |
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Title of host publication | AAS/AIAA Astrodynamics Specialist Conference, 2018 |

Editors | Puneet Singla, Ryan M. Weisman, Belinda G. Marchand, Brandon A. Jones |

Publisher | Univelt Inc. |

Pages | 2311-2328 |

Number of pages | 18 |

ISBN (Print) | 9780877036579 |

State | Published - Jan 1 2018 |

Event | AAS/AIAA Astrodynamics Specialist Conference, 2018 - Snowbird, United States Duration: Aug 19 2018 → Aug 23 2018 |

### Publication series

Name | Advances in the Astronautical Sciences |
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Volume | 167 |

ISSN (Print) | 0065-3438 |

### Conference

Conference | AAS/AIAA Astrodynamics Specialist Conference, 2018 |
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Country | United States |

City | Snowbird |

Period | 8/19/18 → 8/23/18 |

### All Science Journal Classification (ASJC) codes

- Aerospace Engineering
- Space and Planetary Science

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## Cite this

*AAS/AIAA Astrodynamics Specialist Conference, 2018*(pp. 2311-2328). (Advances in the Astronautical Sciences; Vol. 167). Univelt Inc..