Tag Archives: satellite

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

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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

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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

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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

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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

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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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Spring 2019/Lecture 5/Perturbed Motion – 6 Feb 2019

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Sorry for the missed lectures on Friday and Monday. I was out sick. Assignments are due on Friday. We covered perturbations to orbital motion. We examined contributions from gravitational and nongravitational sources to the two-body motion.

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Slides: L5 Slides – Perturbed Motion

[youtube https://www.youtube.com/watch?v=HZjksLbF4go&w=560&h=315]

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Spring 2019/Lecture 4/Two Body Problem – 30 Jan 2019

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We resumed today with orbital mechanics. We covered the two-body problem, introduced Kepler’s problem (time doesn’t relate well to true anomaly), and sprinted to the state transition matrix. We will resume with perturbations and additional bodies considered on Friday.

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Slides: L4 Slides – Two Body Problem

[youtube https://www.youtube.com/watch?v=Mx6PEYk_RQE&w=560&h=315]

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Lecture 3 – Orbital Mechanics Review B

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Lecture

I pick up again by reviewing the solution to the problem assigned during Lecture 1. (The link will take you to a solution using C++ on GitHub). A few common coordinate systems and reference frames are introduced, orbital perturbations are introduced, and an example problem to be solved in Lecture 4 is given to the class to start on.

[youtube https://www.youtube.com/watch?v=FlcF9AoNBUo]

Previous Lectures

Lecture 2

Lecture 1

Resources

Lecture 3 – Review Of Orbital Mechanics B

Lecture 2 – Orbital Mechanics Review A

Lecture 1 – Orbit Determination Concepts (slides)

AppendixA-ProbabilityAndStatistics

OD – HW 1 Solution

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Solution to Homework 1

Problem 1 provides the solution for us. We are learning how to use iterative methods to estimate the state vector. In this case we will use the Newton-Raphson root-finding method to solve for the problem. An Excel sheet is provided that walks through the first three iterations as an illustration. C++ code is provided on GitHub that will solve for the final solution and show the number of iterations.

Homework Solution 1

Excel – Visual Iterative Solution

C++ Solution

 

Lecture 2 – Orbital Mechanics Review A

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Lecture

We review orbital mechanics and Newton’s law of gravitation to prepare for orbit determination. We will cover the two body problem, orbital elements, and perturbing accelerations. We won’t finish the entire lecture today. We will continue on Monday.

[youtube https://www.youtube.com/watch?v=eBekNtOqy-k]

Previous Lectures

Lecture 1

Resources

Lecture 2 – Orbital Mechanics Review A

Lecture 1 – Orbit Determination Concepts (slides)

AppendixA-ProbabilityAndStatistics