SlideShare a Scribd company logo
COMSAT
INSAT
TV TOWER MOSCOW
OSTANKINO
577 m
ORBITAl ELEMENTS
1. Planets move in elliptical orbits with the
sun as one focus
Johannes Kepler (1571 – 1630)
German mathematician, astronomer
and astrologer
a
b
e=0
0<e<1
e=1
e>1
2. the radius vector from the sun to the planet sweeps
out equals areas in equal times
3. T2 : r3 ratio is constant for all planets, where T is
orbital period and r is semi-major axis of the orbit
T2 = (4π2/μ).r3
μ=3.986004418 .10 14 m3/s2= Kepler constant=Gme
Geometry in Orbit Plane
Semi-major Axis a
Eccentricity e
Geometry of Orbit in Space
INCLINATION (i) 0o ≤ I ≤ 180o
Equatorial orbit i= 0o or i=180o
Polar orbit i= 90o
Prograde orbit 0o ≤ I ≤ 90o orbiting Eastward
around Earth
Retrograde orbit 90o ≤ I ≤ 180o orbiting Westward
around Earth
Right Ascension of Ascending Node (Ω) 0o ≤ I ≤ 360o
( Celestial Longitude)
Argument of Perigee (ω) 0o ≤ I ≤ 360o
True Anomaly (ν) 0o ≤ I ≤ 360o
Six Orbital Elements
Impact of each of the elements on Orbit
Impact of each of the elements on Orbit
Newton discovered the laws of gravitation and explained planetary
and satellite orbits in terms of the balance of forces:
1. Centripetal acceleration
2. Centrifugal force
Isaac Newton (1643 - 1727)
English physicist, mathematician, astronomer, theologian)
2
r
m
FIN


r
v
mFOUT
2

Sources of Perturbations
Earth Gravitational Field
Air Drag
Solar Radiation
Sun/Moon Influence
Thruster Activity
Others (e.g. planets, albedo)
Earth's gravity
measured by
NASA's GRACE
mission,
showing
deviations from
the theoretical
gravity of an
idealized
smooth Earth,
the so called
earth ellipsoid.
Red shows the areas where gravity is stronger than the smooth,
standard value, and blue reveals areas where gravity is weaker.
Non –uniorm Gravitation of the Earth
. Orbit Perturbations
Air Drag
• Generally decrease of semi-major
axis
• For elliptical orbits decrease of
apogee height
• For circular orbits decrease of orbital
height
• Decrease of orbital period (increase
of satellite velocity)
• Depending on Solar activity (Solar
Flux)
Azimuth by definition
North is 0 deg, East is 90 deg, South is 180 deg and west is 270
deg. North can also be called 360 deg.
e
e
e
Look Angles Chart for
Geostationary satellite
After Deployment
26 m
Stowed ( Before Launch):
3.8 m
A GSLV in the VAB before
launch
ISRO
Size
Height 49 metres (161 ft)
Diameter 2.8 metres
Mass 402,000 kilograms
Stages
Capacity
Payload to
LEO 5000 kg
Space Shuttle : Reusable
Frequency (GHz)
en.wikipedia.org/wiki/Geosynchronous_satellite
SatelliteOrbit
SatelliteOrbit

More Related Content

What's hot

Satellite communication lecture3
Satellite communication lecture3Satellite communication lecture3
Satellite communication lecture3
sandip das
 
Gravitation
GravitationGravitation
Gravitation
Ravi Teja
 
2017 Types Of Orbits Brief Explanation
2017 Types Of Orbits Brief Explanation2017 Types Of Orbits Brief Explanation
2017 Types Of Orbits Brief Explanation
Atiqa khan
 
Solar measurements of interest in solar cooker research
Solar measurements of interest in solar cooker researchSolar measurements of interest in solar cooker research
Solar measurements of interest in solar cooker research
Paul Arveson
 
Chapter 22outline
Chapter 22outlineChapter 22outline
Chapter 22outlinejmchenry071
 
Keplerian orbital elements (lecture 2)
Keplerian orbital elements (lecture 2)Keplerian orbital elements (lecture 2)
Keplerian orbital elements (lecture 2)
Olexiy Pogurelskiy
 
DESIGN OF GEOSYNCHRONOUS AND SUN SYNCHRONOUS ORBIT
DESIGN OF GEOSYNCHRONOUS AND SUN SYNCHRONOUS ORBITDESIGN OF GEOSYNCHRONOUS AND SUN SYNCHRONOUS ORBIT
DESIGN OF GEOSYNCHRONOUS AND SUN SYNCHRONOUS ORBIT
Shahid Iqbal
 
Satellite communication lecture2
Satellite communication lecture2Satellite communication lecture2
Satellite communication lecture2
sandip das
 
Orbital mechanics
Orbital mechanicsOrbital mechanics
Orbital mechanics
RAVIKIRAN ANANDE
 
Satellite fundamentals
Satellite fundamentals  Satellite fundamentals
Satellite fundamentals
Ghassan Hadi
 
Catalog of Earth Satellite Orbits_2017
Catalog of Earth Satellite Orbits_2017Catalog of Earth Satellite Orbits_2017
Catalog of Earth Satellite Orbits_2017
Atiqa khan
 
Synchronous orbit
Synchronous orbit Synchronous orbit
Synchronous orbit
Md. Khirul Islam Bishal
 
Satellite communication lecture4
Satellite communication lecture4Satellite communication lecture4
Satellite communication lecture4
sandip das
 
Astrophysics orbital mechanics
Astrophysics orbital mechanicsAstrophysics orbital mechanics
Astrophysics orbital mechanicsArmando Mateo
 
General Astronomy
General AstronomyGeneral Astronomy
General Astronomy
jaimahadik
 
Cm 5 gravitation introduction (shared)
Cm 5 gravitation   introduction (shared)Cm 5 gravitation   introduction (shared)
Cm 5 gravitation introduction (shared)LThistlewood
 
Assessment and evaluation of solar resources adb course
Assessment and evaluation of solar resources adb courseAssessment and evaluation of solar resources adb course
Assessment and evaluation of solar resources adb courseIrSOLaV Pomares
 
Planetarymotion
PlanetarymotionPlanetarymotion
Planetarymotion
Brey Nadado
 
The Celestial Sphere
The Celestial SphereThe Celestial Sphere
The Celestial Sphere
Saeed Jafari
 

What's hot (20)

Satellite communication lecture3
Satellite communication lecture3Satellite communication lecture3
Satellite communication lecture3
 
Gravitation
GravitationGravitation
Gravitation
 
2017 Types Of Orbits Brief Explanation
2017 Types Of Orbits Brief Explanation2017 Types Of Orbits Brief Explanation
2017 Types Of Orbits Brief Explanation
 
09 uni 02
09 uni 0209 uni 02
09 uni 02
 
Solar measurements of interest in solar cooker research
Solar measurements of interest in solar cooker researchSolar measurements of interest in solar cooker research
Solar measurements of interest in solar cooker research
 
Chapter 22outline
Chapter 22outlineChapter 22outline
Chapter 22outline
 
Keplerian orbital elements (lecture 2)
Keplerian orbital elements (lecture 2)Keplerian orbital elements (lecture 2)
Keplerian orbital elements (lecture 2)
 
DESIGN OF GEOSYNCHRONOUS AND SUN SYNCHRONOUS ORBIT
DESIGN OF GEOSYNCHRONOUS AND SUN SYNCHRONOUS ORBITDESIGN OF GEOSYNCHRONOUS AND SUN SYNCHRONOUS ORBIT
DESIGN OF GEOSYNCHRONOUS AND SUN SYNCHRONOUS ORBIT
 
Satellite communication lecture2
Satellite communication lecture2Satellite communication lecture2
Satellite communication lecture2
 
Orbital mechanics
Orbital mechanicsOrbital mechanics
Orbital mechanics
 
Satellite fundamentals
Satellite fundamentals  Satellite fundamentals
Satellite fundamentals
 
Catalog of Earth Satellite Orbits_2017
Catalog of Earth Satellite Orbits_2017Catalog of Earth Satellite Orbits_2017
Catalog of Earth Satellite Orbits_2017
 
Synchronous orbit
Synchronous orbit Synchronous orbit
Synchronous orbit
 
Satellite communication lecture4
Satellite communication lecture4Satellite communication lecture4
Satellite communication lecture4
 
Astrophysics orbital mechanics
Astrophysics orbital mechanicsAstrophysics orbital mechanics
Astrophysics orbital mechanics
 
General Astronomy
General AstronomyGeneral Astronomy
General Astronomy
 
Cm 5 gravitation introduction (shared)
Cm 5 gravitation   introduction (shared)Cm 5 gravitation   introduction (shared)
Cm 5 gravitation introduction (shared)
 
Assessment and evaluation of solar resources adb course
Assessment and evaluation of solar resources adb courseAssessment and evaluation of solar resources adb course
Assessment and evaluation of solar resources adb course
 
Planetarymotion
PlanetarymotionPlanetarymotion
Planetarymotion
 
The Celestial Sphere
The Celestial SphereThe Celestial Sphere
The Celestial Sphere
 

Similar to SatelliteOrbit

GPS sattelite orbit
GPS sattelite orbitGPS sattelite orbit
GPS sattelite orbit
Kutubuddin ANSARI
 
3.2.2.a_orbitmechmodeling.pptx
3.2.2.a_orbitmechmodeling.pptx3.2.2.a_orbitmechmodeling.pptx
3.2.2.a_orbitmechmodeling.pptx
santhyamuthu1
 
Orbits and space flight, types of orbits
Orbits and space flight, types of orbitsOrbits and space flight, types of orbits
Orbits and space flight, types of orbits
Shiva Uppu
 
GR.ppt
GR.pptGR.ppt
SATELLITE_COMMUNICATION.pdf
SATELLITE_COMMUNICATION.pdfSATELLITE_COMMUNICATION.pdf
SATELLITE_COMMUNICATION.pdf
mark625251
 
Satellite Communication Unit 1 ppt for ECE
Satellite Communication Unit 1 ppt for ECESatellite Communication Unit 1 ppt for ECE
Satellite Communication Unit 1 ppt for ECE
ssuserb20042
 
Gravitation
GravitationGravitation
Gravitation
Abhimanyu Chauhan
 
satellite communication ppt.ppt
satellite communication ppt.pptsatellite communication ppt.ppt
satellite communication ppt.ppt
ranash01
 
Kepler's laws of planetary motion
Kepler's laws of planetary motionKepler's laws of planetary motion
Kepler's laws of planetary motionKumar
 
Gravitation ppt
Gravitation pptGravitation ppt
Gravitation ppt
Arpan Shakya
 
Physics Powerpoint Presentation- Keplers laws of planetary motion
Physics Powerpoint Presentation- Keplers laws of planetary motionPhysics Powerpoint Presentation- Keplers laws of planetary motion
Physics Powerpoint Presentation- Keplers laws of planetary motion
Kendriya Vidyalaya
 
Fisica pau-cyl-2007-2019-gravitacion ordenado (1)
Fisica pau-cyl-2007-2019-gravitacion ordenado (1)Fisica pau-cyl-2007-2019-gravitacion ordenado (1)
Fisica pau-cyl-2007-2019-gravitacion ordenado (1)
Inmaculada García Pérez
 
Fisica pau-cyl-2007-2019-gravitacion ordenado
Fisica pau-cyl-2007-2019-gravitacion ordenadoFisica pau-cyl-2007-2019-gravitacion ordenado
Fisica pau-cyl-2007-2019-gravitacion ordenado
Inmaculada García Pérez
 
Gravity.ppt
Gravity.pptGravity.ppt
Gravity.ppt
BhaskarTupte2
 
EC 8094 SATELLITE COMMUNICATION - COURSE MATERIAL
EC 8094 SATELLITE COMMUNICATION - COURSE MATERIALEC 8094 SATELLITE COMMUNICATION - COURSE MATERIAL
EC 8094 SATELLITE COMMUNICATION - COURSE MATERIAL
dineshkumarT17
 
Gravitation (Class XI Brief)
Gravitation (Class XI Brief)Gravitation (Class XI Brief)
Gravitation (Class XI Brief)
Aryavarta Giri
 
Gravity origin & evolution
Gravity origin & evolutionGravity origin & evolution
Gravity origin & evolutiondsvthampi
 
Satellite communication lecture1
Satellite communication lecture1Satellite communication lecture1
Satellite communication lecture1
sandip das
 
Circular Motion Master Rev2
Circular Motion Master Rev2Circular Motion Master Rev2
Circular Motion Master Rev2Chris Staines
 

Similar to SatelliteOrbit (20)

GPS sattelite orbit
GPS sattelite orbitGPS sattelite orbit
GPS sattelite orbit
 
3.2.2.a_orbitmechmodeling.pptx
3.2.2.a_orbitmechmodeling.pptx3.2.2.a_orbitmechmodeling.pptx
3.2.2.a_orbitmechmodeling.pptx
 
Orbits and space flight, types of orbits
Orbits and space flight, types of orbitsOrbits and space flight, types of orbits
Orbits and space flight, types of orbits
 
GR.ppt
GR.pptGR.ppt
GR.ppt
 
SATELLITE_COMMUNICATION.pdf
SATELLITE_COMMUNICATION.pdfSATELLITE_COMMUNICATION.pdf
SATELLITE_COMMUNICATION.pdf
 
Satellite Communication Unit 1 ppt for ECE
Satellite Communication Unit 1 ppt for ECESatellite Communication Unit 1 ppt for ECE
Satellite Communication Unit 1 ppt for ECE
 
Gravitation
GravitationGravitation
Gravitation
 
satellite communication ppt.ppt
satellite communication ppt.pptsatellite communication ppt.ppt
satellite communication ppt.ppt
 
gravity.ppt
gravity.pptgravity.ppt
gravity.ppt
 
Kepler's laws of planetary motion
Kepler's laws of planetary motionKepler's laws of planetary motion
Kepler's laws of planetary motion
 
Gravitation ppt
Gravitation pptGravitation ppt
Gravitation ppt
 
Physics Powerpoint Presentation- Keplers laws of planetary motion
Physics Powerpoint Presentation- Keplers laws of planetary motionPhysics Powerpoint Presentation- Keplers laws of planetary motion
Physics Powerpoint Presentation- Keplers laws of planetary motion
 
Fisica pau-cyl-2007-2019-gravitacion ordenado (1)
Fisica pau-cyl-2007-2019-gravitacion ordenado (1)Fisica pau-cyl-2007-2019-gravitacion ordenado (1)
Fisica pau-cyl-2007-2019-gravitacion ordenado (1)
 
Fisica pau-cyl-2007-2019-gravitacion ordenado
Fisica pau-cyl-2007-2019-gravitacion ordenadoFisica pau-cyl-2007-2019-gravitacion ordenado
Fisica pau-cyl-2007-2019-gravitacion ordenado
 
Gravity.ppt
Gravity.pptGravity.ppt
Gravity.ppt
 
EC 8094 SATELLITE COMMUNICATION - COURSE MATERIAL
EC 8094 SATELLITE COMMUNICATION - COURSE MATERIALEC 8094 SATELLITE COMMUNICATION - COURSE MATERIAL
EC 8094 SATELLITE COMMUNICATION - COURSE MATERIAL
 
Gravitation (Class XI Brief)
Gravitation (Class XI Brief)Gravitation (Class XI Brief)
Gravitation (Class XI Brief)
 
Gravity origin & evolution
Gravity origin & evolutionGravity origin & evolution
Gravity origin & evolution
 
Satellite communication lecture1
Satellite communication lecture1Satellite communication lecture1
Satellite communication lecture1
 
Circular Motion Master Rev2
Circular Motion Master Rev2Circular Motion Master Rev2
Circular Motion Master Rev2
 

Recently uploaded

Predicting property prices with machine learning algorithms.pdf
Predicting property prices with machine learning algorithms.pdfPredicting property prices with machine learning algorithms.pdf
Predicting property prices with machine learning algorithms.pdf
binhminhvu04
 
Nutraceutical market, scope and growth: Herbal drug technology
Nutraceutical market, scope and growth: Herbal drug technologyNutraceutical market, scope and growth: Herbal drug technology
Nutraceutical market, scope and growth: Herbal drug technology
Lokesh Patil
 
Cancer cell metabolism: special Reference to Lactate Pathway
Cancer cell metabolism: special Reference to Lactate PathwayCancer cell metabolism: special Reference to Lactate Pathway
Cancer cell metabolism: special Reference to Lactate Pathway
AADYARAJPANDEY1
 
Lab report on liquid viscosity of glycerin
Lab report on liquid viscosity of glycerinLab report on liquid viscosity of glycerin
Lab report on liquid viscosity of glycerin
ossaicprecious19
 
Mammalian Pineal Body Structure and Also Functions
Mammalian Pineal Body Structure and Also FunctionsMammalian Pineal Body Structure and Also Functions
Mammalian Pineal Body Structure and Also Functions
YOGESH DOGRA
 
general properties of oerganologametal.ppt
general properties of oerganologametal.pptgeneral properties of oerganologametal.ppt
general properties of oerganologametal.ppt
IqrimaNabilatulhusni
 
insect taxonomy importance systematics and classification
insect taxonomy importance systematics and classificationinsect taxonomy importance systematics and classification
insect taxonomy importance systematics and classification
anitaento25
 
EY - Supply Chain Services 2018_template.pptx
EY - Supply Chain Services 2018_template.pptxEY - Supply Chain Services 2018_template.pptx
EY - Supply Chain Services 2018_template.pptx
AlguinaldoKong
 
Penicillin...........................pptx
Penicillin...........................pptxPenicillin...........................pptx
Penicillin...........................pptx
Cherry
 
Large scale production of streptomycin.pptx
Large scale production of streptomycin.pptxLarge scale production of streptomycin.pptx
Large scale production of streptomycin.pptx
Cherry
 
(May 29th, 2024) Advancements in Intravital Microscopy- Insights for Preclini...
(May 29th, 2024) Advancements in Intravital Microscopy- Insights for Preclini...(May 29th, 2024) Advancements in Intravital Microscopy- Insights for Preclini...
(May 29th, 2024) Advancements in Intravital Microscopy- Insights for Preclini...
Scintica Instrumentation
 
Citrus Greening Disease and its Management
Citrus Greening Disease and its ManagementCitrus Greening Disease and its Management
Citrus Greening Disease and its Management
subedisuryaofficial
 
filosofia boliviana introducción jsjdjd.pptx
filosofia boliviana introducción jsjdjd.pptxfilosofia boliviana introducción jsjdjd.pptx
filosofia boliviana introducción jsjdjd.pptx
IvanMallco1
 
RNA INTERFERENCE: UNRAVELING GENETIC SILENCING
RNA INTERFERENCE: UNRAVELING GENETIC SILENCINGRNA INTERFERENCE: UNRAVELING GENETIC SILENCING
RNA INTERFERENCE: UNRAVELING GENETIC SILENCING
AADYARAJPANDEY1
 
Viksit bharat till 2047 India@2047.pptx
Viksit bharat till 2047  India@2047.pptxViksit bharat till 2047  India@2047.pptx
Viksit bharat till 2047 India@2047.pptx
rakeshsharma20142015
 
GBSN- Microbiology (Lab 3) Gram Staining
GBSN- Microbiology (Lab 3) Gram StainingGBSN- Microbiology (Lab 3) Gram Staining
GBSN- Microbiology (Lab 3) Gram Staining
Areesha Ahmad
 
platelets- lifespan -Clot retraction-disorders.pptx
platelets- lifespan -Clot retraction-disorders.pptxplatelets- lifespan -Clot retraction-disorders.pptx
platelets- lifespan -Clot retraction-disorders.pptx
muralinath2
 
extra-chromosomal-inheritance[1].pptx.pdfpdf
extra-chromosomal-inheritance[1].pptx.pdfpdfextra-chromosomal-inheritance[1].pptx.pdfpdf
extra-chromosomal-inheritance[1].pptx.pdfpdf
DiyaBiswas10
 
GBSN - Biochemistry (Unit 5) Chemistry of Lipids
GBSN - Biochemistry (Unit 5) Chemistry of LipidsGBSN - Biochemistry (Unit 5) Chemistry of Lipids
GBSN - Biochemistry (Unit 5) Chemistry of Lipids
Areesha Ahmad
 
FAIR & AI Ready KGs for Explainable Predictions
FAIR & AI Ready KGs for Explainable PredictionsFAIR & AI Ready KGs for Explainable Predictions
FAIR & AI Ready KGs for Explainable Predictions
Michel Dumontier
 

Recently uploaded (20)

Predicting property prices with machine learning algorithms.pdf
Predicting property prices with machine learning algorithms.pdfPredicting property prices with machine learning algorithms.pdf
Predicting property prices with machine learning algorithms.pdf
 
Nutraceutical market, scope and growth: Herbal drug technology
Nutraceutical market, scope and growth: Herbal drug technologyNutraceutical market, scope and growth: Herbal drug technology
Nutraceutical market, scope and growth: Herbal drug technology
 
Cancer cell metabolism: special Reference to Lactate Pathway
Cancer cell metabolism: special Reference to Lactate PathwayCancer cell metabolism: special Reference to Lactate Pathway
Cancer cell metabolism: special Reference to Lactate Pathway
 
Lab report on liquid viscosity of glycerin
Lab report on liquid viscosity of glycerinLab report on liquid viscosity of glycerin
Lab report on liquid viscosity of glycerin
 
Mammalian Pineal Body Structure and Also Functions
Mammalian Pineal Body Structure and Also FunctionsMammalian Pineal Body Structure and Also Functions
Mammalian Pineal Body Structure and Also Functions
 
general properties of oerganologametal.ppt
general properties of oerganologametal.pptgeneral properties of oerganologametal.ppt
general properties of oerganologametal.ppt
 
insect taxonomy importance systematics and classification
insect taxonomy importance systematics and classificationinsect taxonomy importance systematics and classification
insect taxonomy importance systematics and classification
 
EY - Supply Chain Services 2018_template.pptx
EY - Supply Chain Services 2018_template.pptxEY - Supply Chain Services 2018_template.pptx
EY - Supply Chain Services 2018_template.pptx
 
Penicillin...........................pptx
Penicillin...........................pptxPenicillin...........................pptx
Penicillin...........................pptx
 
Large scale production of streptomycin.pptx
Large scale production of streptomycin.pptxLarge scale production of streptomycin.pptx
Large scale production of streptomycin.pptx
 
(May 29th, 2024) Advancements in Intravital Microscopy- Insights for Preclini...
(May 29th, 2024) Advancements in Intravital Microscopy- Insights for Preclini...(May 29th, 2024) Advancements in Intravital Microscopy- Insights for Preclini...
(May 29th, 2024) Advancements in Intravital Microscopy- Insights for Preclini...
 
Citrus Greening Disease and its Management
Citrus Greening Disease and its ManagementCitrus Greening Disease and its Management
Citrus Greening Disease and its Management
 
filosofia boliviana introducción jsjdjd.pptx
filosofia boliviana introducción jsjdjd.pptxfilosofia boliviana introducción jsjdjd.pptx
filosofia boliviana introducción jsjdjd.pptx
 
RNA INTERFERENCE: UNRAVELING GENETIC SILENCING
RNA INTERFERENCE: UNRAVELING GENETIC SILENCINGRNA INTERFERENCE: UNRAVELING GENETIC SILENCING
RNA INTERFERENCE: UNRAVELING GENETIC SILENCING
 
Viksit bharat till 2047 India@2047.pptx
Viksit bharat till 2047  India@2047.pptxViksit bharat till 2047  India@2047.pptx
Viksit bharat till 2047 India@2047.pptx
 
GBSN- Microbiology (Lab 3) Gram Staining
GBSN- Microbiology (Lab 3) Gram StainingGBSN- Microbiology (Lab 3) Gram Staining
GBSN- Microbiology (Lab 3) Gram Staining
 
platelets- lifespan -Clot retraction-disorders.pptx
platelets- lifespan -Clot retraction-disorders.pptxplatelets- lifespan -Clot retraction-disorders.pptx
platelets- lifespan -Clot retraction-disorders.pptx
 
extra-chromosomal-inheritance[1].pptx.pdfpdf
extra-chromosomal-inheritance[1].pptx.pdfpdfextra-chromosomal-inheritance[1].pptx.pdfpdf
extra-chromosomal-inheritance[1].pptx.pdfpdf
 
GBSN - Biochemistry (Unit 5) Chemistry of Lipids
GBSN - Biochemistry (Unit 5) Chemistry of LipidsGBSN - Biochemistry (Unit 5) Chemistry of Lipids
GBSN - Biochemistry (Unit 5) Chemistry of Lipids
 
FAIR & AI Ready KGs for Explainable Predictions
FAIR & AI Ready KGs for Explainable PredictionsFAIR & AI Ready KGs for Explainable Predictions
FAIR & AI Ready KGs for Explainable Predictions
 

SatelliteOrbit

  • 3. 1. Planets move in elliptical orbits with the sun as one focus Johannes Kepler (1571 – 1630) German mathematician, astronomer and astrologer
  • 5. 2. the radius vector from the sun to the planet sweeps out equals areas in equal times 3. T2 : r3 ratio is constant for all planets, where T is orbital period and r is semi-major axis of the orbit T2 = (4π2/μ).r3 μ=3.986004418 .10 14 m3/s2= Kepler constant=Gme
  • 6. Geometry in Orbit Plane Semi-major Axis a Eccentricity e
  • 7. Geometry of Orbit in Space INCLINATION (i) 0o ≤ I ≤ 180o Equatorial orbit i= 0o or i=180o Polar orbit i= 90o Prograde orbit 0o ≤ I ≤ 90o orbiting Eastward around Earth Retrograde orbit 90o ≤ I ≤ 180o orbiting Westward around Earth
  • 8. Right Ascension of Ascending Node (Ω) 0o ≤ I ≤ 360o ( Celestial Longitude) Argument of Perigee (ω) 0o ≤ I ≤ 360o True Anomaly (ν) 0o ≤ I ≤ 360o
  • 9.
  • 11. Impact of each of the elements on Orbit
  • 12. Impact of each of the elements on Orbit
  • 13.
  • 14. Newton discovered the laws of gravitation and explained planetary and satellite orbits in terms of the balance of forces: 1. Centripetal acceleration 2. Centrifugal force Isaac Newton (1643 - 1727) English physicist, mathematician, astronomer, theologian) 2 r m FIN   r v mFOUT 2 
  • 15. Sources of Perturbations Earth Gravitational Field Air Drag Solar Radiation Sun/Moon Influence Thruster Activity Others (e.g. planets, albedo)
  • 16. Earth's gravity measured by NASA's GRACE mission, showing deviations from the theoretical gravity of an idealized smooth Earth, the so called earth ellipsoid. Red shows the areas where gravity is stronger than the smooth, standard value, and blue reveals areas where gravity is weaker. Non –uniorm Gravitation of the Earth
  • 17. . Orbit Perturbations Air Drag • Generally decrease of semi-major axis • For elliptical orbits decrease of apogee height • For circular orbits decrease of orbital height • Decrease of orbital period (increase of satellite velocity) • Depending on Solar activity (Solar Flux)
  • 18.
  • 19.
  • 20. Azimuth by definition North is 0 deg, East is 90 deg, South is 180 deg and west is 270 deg. North can also be called 360 deg. e e e
  • 21.
  • 22. Look Angles Chart for Geostationary satellite
  • 23.
  • 24.
  • 25.
  • 26.
  • 27.
  • 28.
  • 29.
  • 30. After Deployment 26 m Stowed ( Before Launch): 3.8 m
  • 31. A GSLV in the VAB before launch ISRO Size Height 49 metres (161 ft) Diameter 2.8 metres Mass 402,000 kilograms Stages Capacity Payload to LEO 5000 kg
  • 32.
  • 33.
  • 34. Space Shuttle : Reusable
  • 36.