Dynamical systems

Fundamental ephemeris

A fundamental ephemeris of the Solar System is a model of the objects of the system in space, with all of their positions and motions accurately represented. It is intended to be a high-precision primary reference for prediction and observation of those positions and motions, and which provides a basis for further refinement of the model. It is generally not intended to cover the entire life of the Solar System; usually a short-duration time span, perhaps a few centuries, is represented to high accuracy. Some long ephemerides cover several millennia to medium accuracy. They are published by the Jet Propulsion Laboratory as Development Ephemeris. The latest releases include DE430 which covers planetary and lunar ephemeris from Dec 21, 1549 to Jan 25, 2650 with high precision and is intended for general use for modern time periods . DE431 was created to cover a longer time period Aug 15, -13200 to March 15, 17191 with slightly less precision for use with historic observations and far reaching forecasted positions. DE432 was released as a minor update to DE430 with improvements to the Pluto barycenter in support of the New Horizons mission. (Wikipedia).

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Basic Principle

A brief description of the "Basic Principle" and how it can be used to test for primality.

From playlist Cryptography and Coding Theory

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Calculus - The Fundamental Theorem, Part 1

The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.

From playlist Calculus - The Fundamental Theorem of Calculus

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Fundamental Principle of Counting Example 2

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Short video on how to use the fundamental rule of counting, also called the rule of product or simply the multiplication rule.

From playlist Probability and Counting

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What is the Fundamental theorem of Algebra, really? | Abstract Algebra Math Foundations 217

Here we give restatements of the Fundamental theorems of Algebra (I) and (II) that we critiqued in our last video, so that they are now at least meaningful and correct statements, at least to the best of our knowledge. The key is to abstain from any prior assumptions about our understandin

From playlist Math Foundations

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Prealgebra 3.03b - Simplifying Fractions

Simplifying fractions by dividing the numerator and denominator by the same number, a concept also known as the Fundamental Principle of Fractions.

From playlist Prealgebra Chapter 3 (Complete chapter)

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Line integrals: Fundamental theorem

Free ebook http://tinyurl.com/EngMathYT A basic lecture on the fundamental theorem of line integrals, which involves only the end-points of the path of integration. Such an idea is a generalization of the fundamental theorem of calculus for functions of one variable. Plenty of examples a

From playlist Engineering Mathematics

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Number Theory - Fundamental Theorem of Arithmetic

Fundamental Theorem of Arithmetic and Proof. Building Block of further mathematics. Very important theorem in number theory and mathematics.

From playlist Proofs

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The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg

In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t

From playlist Algebraic Calculus One

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Special Topics - GPS (60 of 100) Subframe 2 Word 1-5

Visit http://ilectureonline.com for more math and science lectures! http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn about Subframe 2 and Subframe 3. Subframe 2 contains ephemeris data, which is the very accurate orbital data and parameters of the

From playlist SPECIAL TOPICS 2 - GPS

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Special Topics - GPS (54 of 100) Subframe 1 Word 8 Toc Time of Clock

Visit http://ilectureonline.com for more math and science lectures! http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will continue with the navigation message to Word 8 Subframe 1 and encounter all kinds of parts of navigation message that is helpful in dete

From playlist SPECIAL TOPICS 2 - GPS

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Special Topics - GPS (69 of 100) What are the Ephemeris Parameters?

Visit http://ilectureonline.com for more math and science lectures! http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn about the 16 ephemeris data definitions, main anomaly at reference time, mean motion difference from computed value, eccentricity,

From playlist SPECIAL TOPICS 2 - GPS

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Fundamental Theorem of Algebra

The Fundamental Theorem of Algebra and some additional notes about how roots of polynomials and complex numbers are related to each other.

From playlist Modern Algebra

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Special Topics - GPS (70 of 100) Factors (Elements) of Coordinates System (Part 1)

Visit http://ilectureonline.com for more math and science lectures! http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 (Part 1) We will learn factors (elements) of coordinate systems of gravitational constant (GM), earth’s rotation rate, semi-major rate, semi-maj

From playlist SPECIAL TOPICS 2 - GPS

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Special Topics - GPS (74 of 100) Subframe 5: Pages 1-24 Data Content

Visit http://ilectureonline.com for more math and science lectures! http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn about the contents of Subframe 5: 25 Pages. We will learn about Subframe 5: Pages 1-24 Data Content of eccentricity, time of ephe

From playlist SPECIAL TOPICS 2 - GPS

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How do spacecraft navigate in space ?

https://brilliant.org/curiousdroid/ How do spacecraft navigate in space over billions of kilometers and with split second timing during missions that last for years or decades. Here we look at how its done and the underlying principles that make it all possible. Sponsored by Brilliant.org

From playlist Rockets and Space Craft

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GPS (20 of 100) Subframes in the Navigation Message

Visit http://ilectureonline.com for more math and science lectures! http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn in a general way of the subframes in the navigation message. Previous video in this series can be seen at: https://youtu.be/J5K4u

From playlist SPECIAL TOPICS 2 - GPS

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Special Topics - GPS (68 of 100) 6 Main Orbital Parameters

Visit http://ilectureonline.com for more math and science lectures! http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn about the 16 ephemeris data definitions, main anomaly at reference time, mean motion difference from computed value, eccentricity,

From playlist SPECIAL TOPICS 2 - GPS

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Special Topics - GPS (56 of 100) SV Clock Correction Word 9 and 10 Subframe 1

Visit http://ilectureonline.com for more math and science lectures! http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will look at Words 9 and 10 of Subframe 1. They contain correction coefficients that we are going to need in order to calculate how far off t

From playlist SPECIAL TOPICS 2 - GPS

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Special Topics - GPS (61 of 100) Subframe 2 Words 6-10

Visit http://ilectureonline.com for more math and science lectures! http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn about Subframe 2 Words 6-10 (ephemeris data) and the parameters it contains. Previous video in this series on YouTube: https://y

From playlist SPECIAL TOPICS 2 - GPS

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Algebra - Ch. 0.5: Basic Concepts (1 of 26) An Overview

Visit http://ilectureonline.com for more math and science lectures! In this video I will give an overview of the basic concepts of algebra. I will review fractions operations of reducing, multiplying, dividing, adding, subtracting, and simplifying fraction. I will review number sets of re

From playlist ALGEBRA 0.5 BASIC CONCEPTS

Related pages

Perturbation (astronomy) | Numerical integration | Jet Propulsion Laboratory Development Ephemeris