Formulation
of Gravitational Theory (Newton's three laws)
Discovered
prism of light
Discovered
Differential Calculus
NEWTON'S THREE LAWS
A Body remains at rest or moves
in a straight line at constant speed unless acted upon by an
unbalanced forces
Acceleration of a body is directly proportional to amount of force
acting on it
Acceleration: change in speed and/or direction
with time
Whenever one body exerts force on second body, the second body exerts an
equal, opposite force on the first
Newton's explanation
for Kepler's Laws:
Example 1:
Earth is (m1 = 6 x a0^24 kg) & Sun is (m2
= 2x10^30 kg) R is distance (1.5 x 10^11m)
Comets
Above picture Halley's comet - orbit ~ 76 yrs.
William Herschel
1781- Uranus was discovered by William Herschel
Uranus was unknown to the ancients,
even though it is just visible to the naked eye. It was discovered by Sir
WilliamHerschel, a musician who at the time was only an amateur
astronomer interested in hunting comets. In 1781, he observed a pale blue
object whose position in the sky changed from night to night. Herschel
at first thought he had discovered a comet, but observations over several
months showed that the body's orbit was nearly circular, and he therefore
concluded that he had found a new planet. For this discovery, King George
III named Herschel his personal astronomer.
The Search for Neptune
1840's- Uranus drifting off course
Solution:
JOHN ADAMS—Britain
J. URBAIN LEVERRIER—France
Must
be a new planet
In
Britain, prediction ignored (Airy)
1846
- Neptune discovered (Berlin)
Orbit
- 164.8 yrs - 301 A.U.
Neptune was discovered in the 1840s from predictions
made independently by a young English astronomer, John Couch Adams, and
a French astronomer, Urbain Leverrier.
Adams and Leverrier both noticed that Uranus was
not precisely following its predicted orbit, and they therefore inferred
that its motion was being disturbed by the gravitational force of an as
yet unknown planet. From the size of these orbital disturbances, Adams
and Leverrier predicted where the unseen body must lie.
Adams completed his calculations in 1845, but when
he reported his results, the astronomer royal, Sir George Airy, was unconvinced
and gave a low priority to the search for the unseen planet. In 1846, however,
Airy was startled to read a paper by Leverrier detailing calculations nearly
identical to those made by Adams. This spurred Airy to begin a search in
earnest, but by then it was to late: Leverrier had given his predicted
positions to Johann Galle, a German astronomer who that same night pointed
his telescope to the predicted location and saw Neptune.
Assignment of credit for the discovery of the new
planet led to a rancorous dispute tinged with national pride that lasted
decades, and the discovery is now credited equally to Adams and Leverrier.
Ironically, Galileo had seen Neptune in 1613 while
observing Jupiter's moons. His observation notes record a dim object whose
position changed with respect to the stars, as would be expected for a
planet. Galileo failed, however, to appreciate the significance of that
motion, so Neptune eluded discovery for another two centuries.