Category Archives: Statistical Orbit Determination

Spring 2019/Midterm/ 25 Feb 2019

Midterm exam can be found by clicking the link: AEM_591_Exam_Orbit_Determination

This marks the end of the necessary background for orbit determination.

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Spring 2019/Lecture 12/Real Measurements 2 – 22 Feb 2019

Two way ranging and Doppler systems are summarized. Differenced measurements or “differencing,” is explained. For additional explanation on differencing see Penn State’s course for Geospatial and GNSS professionals (https://www.e-education.psu.edu/geog862/node/1727).

There was some difficulty with projecting the slides to the screen so they have been added after the lecture was recorded.

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Slides: L12 Slides – Real Measurements 2

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Spring 2019/Lecture 11/Conceptual Example – 20 Feb 2019

The environment and relativity effects on radio and optical communications are introduced.  One-way range measurement systems are introduced. GPS is provided as an example but it still applies to GLONASS and Galileo. Two-way range, Doppler, and differenced measurements are considered next.

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Slides: L11 Slides – Real Measurements

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Spring 2019/Lecture 10/Conceptual Example – 18 Feb 2019

Return from recording issues. An example illustrating the previous discussions on real-world limitations of observations is examined.

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Slides: L10 Slides – ConceptualExample

[youtube https://www.youtube.com/watch?v=MYR-0afQKo4&w=560&h=315]

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Spring 2019/Lecture 9/Conceptual Measurements – 15 Feb 2019

Return from recording issues. Real-world limitations on ideal observations are discussed. An example illustrating these discussions is prepared for the next lecture.

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Slides: L9 Slides – Conceptual Measurements

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Spring 2019/Homework 2 Solution

Demonstrate understanding of orbital mechanics necessary to complete orbit determination course. In problem 1, position and velocity are converted between osculating elements and sub-satellite points. In problem 2, the receiver measurements confirm the node location varies over time. In problem 3 the equations of motion are numerically integrated for a GLONASS satellite for one day.

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GitHub: Repository for Code Used

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Spring 2019/Lecture 8/Simulating Ideal Measurements – 13 Feb 2019

Continuing from ideal range and range rate measurements we examine how this applies in the larger context of orbit determination. We use examples to demonstrate real-world application. My apologies again for the difficulties I had bringing this recording to you.

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Slides: L8 Slides – Simulating Ideal Measurements

[youtube https://www.youtube.com/watch?v=FwcqWdBinik&w=560&h=315]

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Spring 2019/Lecture 7/Ideal and Conceptual Measurements – 11 Feb 2019

What is an ideal measurement? Specifically what is an ideal range and/or range rate measurement? What’s the difference between observed and computed measurements? Why is it important? My apologies again for the difficulties I had bringing this recording to you.

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Slides: L7 Slides – Ideal and Conceptual Measurements

[youtube https://www.youtube.com/watch?v=BIYy5Ya9tgw&w=560&h=315]

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Spring 2019/Lecture 6/Coordinate Systems and Time – 8 Feb 2019

You should have turned in your assignment by this lecture. My apologies for the issues getting the recordings online. We covered different Earth-bound reference frames and timing systems.

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Slides: L6 Slides – Coordinate Systems and Time

[youtube https://www.youtube.com/watch?v=_3TbLZ-8kkw&w=560&h=315]

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