Kepler Earth ORBITAL MECHANICS Geometry Physics PowerPoint Presentation on CD For Sale

Kepler Earth ORBITAL MECHANICS Geometry Physics PowerPoint Presentation on CD
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Kepler Earth ORBITAL MECHANICS Geometry Physics PowerPoint Presentation on CD :
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TITLE

CIVIL AIR PATROL PRESENTS: INTRO TO SPACE COURSE - ORBITAL MECHANICS, 68 pages (slides)

SLIDE TOPICS, SUBTOPICS and CONTENTS:


Why is this important?
ORBITAL MECHANICS Lesson Plan 1 - Part 1
Origins
Physical Laws
Requirements for Injection
Classifications of Orbits
Coordinate Reference Systems
Orbital Elements
ORBITAL MECHANICS Lesson Plan 1 - Part 2
Ground Tracks
Perturbations
Launch Considerations
Orbital Maneuvers
De-orbit/Decay
ORBITAL MECHANICS Lesson Plan 1 - Part 1
Origins
Physical Laws
Requirements for Injection
Classifications of Orbits
Coordinate Reference Systems
Orbital Elements
ORIGINS Nicholas Copernicus
Revived Helio-centric model
Believed planetary orbits were circles
ORIGINS Tycho Brahe
Introduced precision into astronomical measurements
Mentor to Johannes Kepler
ORIGINS Johannes Kepler
Derived 3 laws based upon his observations of planetary motion
ORBITAL MECHANICS
Origins
Physical Laws
Requirements for Injection
Classifications of Orbits
Coordinate Reference Systems
Orbital Elements
PHYSICAL LAWS Kepler’s 1st Law: Law of Ellipses
The orbits of the planets are ellipses with the sun at one focus
PHYSICAL LAWS Ellipses
PHYSICAL LAWS
PHYSICAL LAWS Kepler’s 2nd Law: Law of Equal Areas
The line joining the planet to the center of the sun sweeps out equal areas in equal times
PHYSICAL LAWS Kepler’s 2nd Law: Law of Equal Areas
PHYSICAL LAWS Kepler’s 2nd Law: Law of Equal Areas
t1-t0 = t3-t2
Area 1 = Area 2
Satellite travels at varying speeds
PHYSICAL LAWS Kepler’s 3rd Law: Law of Harmonics
The squares of the periods of two planets’ orbits are proportional to each other as the cubes of their semi-major axes: T12/T22 = a13/a23In English:
Orbits with the same semi-major axis will have the same period
PHYSICAL LAWS Sir Isaac Newton
Derived three laws of motion
Derived the Law of Universal Gravitation
Explained why Kepler’s laws worked
PHYSICAL LAWS Newton’s 1st Law: Law of Inertia
Every body continues in a state of uniform motion unless it is compelled to change that state by a force imposed upon it
PHYSICAL LAWS Newton’s 2nd Law: Law of Momentum
Change in momentum is proportional to and in the direction of the force applied
Momentum equals mass x velocity
Change in momentum gives: F = ma
PHYSICAL LAWS Newton’s 3rd Law: Action - Reaction
For every action, there is an equal and opposite reaction
Hints at conservation of momentum
PHYSICAL LAWS Newton’s Law of Universal Gravitation
Between any two objects there exists a force of attraction that is proportional to the product of their masses and inversely proportional to the square of the distance between them
ORBITAL MECHANICS
Origins
Physical Laws
Requirements for Injection
Classifications of Orbits
Coordinate Reference Systems
Orbital Elements
INJECTION REQUIREMENTS Speed
INJECTION REQUIREMENTS Speed
INJECTION REQUIREMENTS Speed
INJECTION REQUIREMENTS Altitude
Are you moving FASTER or SLOWER the higher your altitude?
INJECTION REQUIREMENTS Altitude
INJECTION REQUIREMENTS Altitude
INJECTION REQUIREMENTS Direction
ORBITAL MECHANICS
Origins
Physical Laws
Requirements for Injection
Classifications of Orbits
Coordinate Reference Systems
Orbital Elements
ORBIT CLASSIFICATION Size/Period
Defined by semi-major axis (a)
Low Earth Orbit (LEO)
High Earth Orbit (HEO)
Semi-synchronous Orbit
Geo-synchronous Orbit
ORBIT CLASSIFICATION CLASSIFICATION Shape (Conic Sections)
ORBIT CLASSIFICATION Shape (Conic Sections)
ORBIT CLASSIFICATIONS Circular Orbits
Characteristics
Constant speed
Nearly constant altitude
Typical Missions
Reconnaissance/Weather (DMSP)
Manned
Navigational (GPS)
Geo-synchronous (Comm sats)
ORBIT CLASSIFICATIONS Elliptical Orbits
Characteristics
Varying speed
Varying altitude
Asymmetric Ground Track
Typical Missions
Deep space surveillance (Pioneer)
Communications (Polar comm.)
Ballistic Missiles
ORBIT CLASSIFICATIONS Parabolic/Hyperbolic Earth’s gravitational influence
Heliocentric
Typical Missions
Interplanetary exploration (Galileo, Phobos, Magellan)
ORBIT CLASSIFICATIONS Orbit Geometry
ORBIT CLASSIFICATIONS Eccentricity
ORBIT CLASSIFICATIONS Eccentricity
ORBIT CLASSIFICATIONS Eccentricity
ORBITAL MECHANICS
Origins
Physical Laws
Requirements for Injection
Classifications of Orbits
Coordinate Reference Systems
Orbital Elements
COORDINATE SYSTEMS
Defines positions and directions in a consistent manner -- allows communication
Facilitates the description of a satellite’s position and subsequent motion
Proper choice of reference determines the utility of a coordinate system
COORDINATE SYSTEMS Ordinates
Origin
Where you’re starting from
Fundamental Plane
Plane which you’re measuring in
Principle Direction
Direction which you’re measuring from
COORDINATE SYSTEMS Dependent
COORDINATE SYSTEMS Inertial
Orbit Inertial
COORDINATE SYSTEMS Geographic
Purpose: To locate points on the Earth’s surface
COORDINATE SYSTEMS Topocentric
Purpose: To locate a satellite with respect to a specific point on the Earth
COORDINATE SYSTEMS Topocentric
COORDINATE SYSTEMS Topocentric
COORDINATE SYSTEMS Geocentric Inertial
Purpose: To determine the exact orientation of an orbital plane and to locate points in space with respect to the Earth
COORDINATE SYSTEMS Geocentric Inertial
COORDINATE SYSTEMS Geocentric Inertial
COORDINATE SYSTEMS Orbit Inertial
Purpose: To fix the satellite orbit in the orbital plane
COORDINATE SYSTEMS Review
Geographic
Locates a point on the Earth’s surface
Requires Latitude and Longitude
Topocentric
Locates a satellite with respect to a site
Requires Azimuth, Elevation, Range
COORDINATE SYSTEMS Review
Geocentric Inertial
Locates orbital plane with respect to the Earth
Requires Right Ascension and Inclination
Orbit Inertial
Locate orbit within orbital plane
Requires Argument of Perigee
ORBITAL MECHANICS
Origins
Physical Laws
Requirements for Injection
Classifications of Orbits
Coordinate Reference Systems
Orbital Elements
ORBITAL ELEMENTS Definition
A set of mathematical parameters that enables us to accurately describe satellite motion
ORBITAL ELEMENTS Purpose
Discriminate one satellite from other satellites
Predict where a satellite will be in the future or has been in the past
Determine amount and direction of maneuver or perturbation
ORBITAL ELEMENTS Keplerian Elements
Semi-Major Axis (Size)
Eccentricity (Shape)
Inclination
Right Ascension
Argument of Perigee
Epoch Time (Location within orbit)
True Anomaly
ORBITAL ELEMENTS Keplerian Elements: Inclination
ORBITAL ELEMENTS Keplerian Elements: Right Ascension
ORBITAL ELEMENTS Keplerian Elements: Argument of Perigee
ORBITAL ELEMENTS Keplerian Elements: True Anomaly
ORBITAL ELEMENTS Keplerian Elements: True Anomaly
ORBITAL ELEMENTS Keplerian Elements: Inclination
ORBITAL MECHANICS Lesson Plan 1 - Part 1 SUMMARY
Origins
Physical Laws
Requirements for Injection
Classifications of Orbits
Coordinate Reference Systems
Orbital Elements



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