Stable Orbits Kepler’s Laws Newton’s Gravity

I. Stable Orbits A. A satellite with no horizontal velocity will __________________. B. A satellite with some horizontal velocity will follow a ___________. C. A satellite with sufficient horizontal velocity will fall at the same rate that the Earth is curving away from it, maintaining a constant height above the ground. This satellite will be in a _______________ orbit. D. Essentially all satellites, moons and planets move in __________ orbits. Stable Orbits, Kepler’s Laws and Newton’s Law of Gravity

I. Stable Orbits no horizontal velocity fall straight down A. A satellite with no horizontal velocity will __fall straight down__. B. A satellite with some horizontal velocity will follow a ___________. C. A satellite with sufficient horizontal velocity will fall at the same rate that the Earth is curving away from it, maintaining a constant height above the ground. This satellite will be in a _______________ orbit. D. Essentially all satellites, moons and planets move in __________ orbits.

I. Stable Orbits fall straight down A. A satellite with no horizontal velocity will __fall straight down__. some horizontal velocitycurved path B. A satellite with some horizontal velocity will follow a _curved path_. C. A satellite with sufficient horizontal velocity will fall at the same rate that the Earth is curving away from it, maintaining a constant height above the ground. This satellite will be in a _______________ orbit. D. Essentially all satellites, moons and planets move in __________ orbits.

I. Stable Orbits fall straight down A. A satellite with no horizontal velocity will __fall straight down__. curved path B. A satellite with some horizontal velocity will follow a _curved path_. stable circular C. A satellite with sufficient horizontal velocity will fall at the same rate that the Earth is curving away from it, maintaining a constant height above the ground. This satellite will be in a __stable circular__ orbit. D. Essentially all satellites, moons and planets move in __________ orbits.

I. Stable Orbits fall straight down A. A satellite with no horizontal velocity will __fall straight down__. curved path B. A satellite with some horizontal velocity will follow a _curved path_. stable circular C. A satellite with sufficient horizontal velocity will fall at the same rate that the Earth is curving away from it, maintaining a constant height above the ground. This satellite will be in a __stable circular__ orbit. elliptical D. Essentially all satellites, moons and planets move in _elliptical__ orbits.

F. Speeds vary for a planet as it moves around the Sun in an elliptical orbit. E. Planets near the Sun will orbit with a _______ speed. Planets far from the Sun will orbit with a _________ speed. Distance From Sun Speed

F. Speeds vary for a planet as it moves around the Sun in an elliptical orbit. E. Planets near the Sun will orbit with a _______ speed. Planets far from the Sun will orbit with a _________ speed. Distance From Sun Speed faster slower

F. Speeds vary for a planet as it moves around the Sun in an elliptical orbit. faster E. Planets near the Sun will orbit with a _faster_ speed. Planets far from the Sun will orbit with a _________ speed. Distance From Sun Speed faster slower Sun

F. Speeds vary for a planet as it moves around the Sun in an elliptical orbit. faster slower E. Planets near the Sun will orbit with a _faster_ speed. Planets far from the Sun will orbit with a __slower__ speed. Distance From Sun Speed faster slower Sun

F. Speeds vary for a planet as it moves around the Sun in an elliptical orbit. faster slower E. Planets near the Sun will orbit with a _faster_ speed. Planets far from the Sun will orbit with a __slower__ speed. Distance From Sun Speed faster slower faster slower

II. Kepler’s 3 Laws 1. The orbit of a planet around the Sun is an _______ with the Sun at one _______. 2. A line joining the Sun and the planet sweep out equal ______ in equal _______. 3. The square of the planet’s orbital _______ is directly proportional to the cube of the ______________ of the planet’s orbit. Sun

II. Kepler’s 3 Laws ellipsefocus 1. The orbit of a planet around the Sun is an _ellipse_ with the Sun at one _focus_. 2. A line joining the Sun and the planet sweep out equal ______ in equal _______. 3. The square of the planet’s orbital _______ is directly proportional to the cube of the ______________ of the planet’s orbit. Sun

II. Kepler’s 3 Laws ellipsefocus 1. The orbit of a planet around the Sun is an _ellipse_ with the Sun at one _focus_. 2. A line joining the Sun and the planet sweep out equal ______ in equal _______. 3. The square of the planet’s orbital _______ is directly proportional to the cube of the ______________ of the planet’s orbit. elliptical orbit focusfocus Sun

II. Kepler’s 3 Laws ellipsefocus 1. The orbit of a planet around the Sun is an _ellipse_ with the Sun at one _focus_. areastimes 2. A line joining the Sun and the planet sweep out equal _areas_ in equal _times_. 3. The square of the planet’s orbital _______ is directly proportional to the cube of the ______________ of the planet’s orbit. elliptical orbit focusfocus Sun

A3 A2 A1 II. Kepler’s 3 Laws ellipsefocus 1. The orbit of a planet around the Sun is an _ellipse_ with the Sun at one _focus_. areastimes 2. A line joining the Sun and the planet sweep out equal _areas_ in equal _times_. 3. The square of the planet’s orbital _______ is directly proportional to the cube of the ______________ of the planet’s orbit. elliptical orbit focusfocus 1 month Sun A1 = A2 = A3

A3 A2 A1 II. Kepler’s 3 Laws ellipsefocus 1. The orbit of a planet around the Sun is an _ellipse_ with the Sun at one _focus_. areastimes 2. A line joining the Sun and the planet sweep out equal _areas_ in equal _times_. period semimajor axis 3. The square of the planet’s orbital _period_ is directly proportional to the cube of the _semimajor axis_ of the planet’s orbit. elliptical orbit focusfocus 1 month Sun A1 = A2 = A3

A3 A2 A1 II. Kepler’s 3 Laws ellipsefocus 1. The orbit of a planet around the Sun is an _ellipse_ with the Sun at one _focus_. areastimes 2. A line joining the Sun and the planet sweep out equal _areas_ in equal _times_. period semimajor axis 3. The square of the planet’s orbital _period_ is directly proportional to the cube of the _semimajor axis_ of the planet’s orbit. elliptical orbit focusfocus 1 month T (period) = time it takes for the planet to make one orbit a (semimajor axis) = average distance between the planet and the Sun Sun A1 = A2 = A3 T 2 ~ a 3

III. Newton’s Law of Gravity 1. All masses ________ one another and never ______. 2. The gravitational force between two masses, m 1 and m 2, is proportional to the ________ of the two masses. 3. The gravitational force between two masses is also _____________________ to the distance between to the two masses squared. m1m1m1m1 m2m2m2m2 r

III. Newton’s Law of Gravity attractrepel 1. All masses _attract_ one another and never _repel_. 2. The gravitational force between two masses, m 1 and m 2, is proportional to the ________ of the two masses. 3. The gravitational force between two masses is also _____________________ to the distance between to the two masses squared. m1m1m1m1 m2m2m2m2 r

III. Newton’s Law of Gravity attractrepel 1. All masses _attract_ one another and never _repel_. product 2.The gravitational force between two masses, m 1 and m 2, is proportional to the _product_ of the two masses. 3. The gravitational force between two masses is also _____________________ to the distance between to the two masses squared. m1m1m1m1 m2m2m2m2 r

III. Newton’s Law of Gravity attractrepel 1. All masses _attract_ one another and never _repel_. product 2.The gravitational force between two masses, m 1 and m 2, is proportional to the _product_ of the two masses. inverselyproportional 3. The gravitational force between two masses is also _inversely_proportional_ to the distance between to the two masses squared. m1m1m1m1 m2m2m2m2 r

III. Newton’s Law of Gravity attractrepel 1. All masses _attract_ one another and never _repel_. product 2. The gravitational force between two masses, m 1 and m 2, is proportional to the _product_ of the two masses. inverselyproportional 3. The gravitational force between two masses is also _inversely_proportional_ to the distance between to the two masses squared. Newton’s gravitational constant m1m1m1m1 m2m2m2m2 r