In 1684, Sir Christopher Wren (the architect who built St. Paul's Cathedral
in London and who is pictured here at left), Sir Edmund Halley (of Halley's
Comet fame and pictured here below), and Robert Hooke (of the famous Hooke's
Law for the harmonic motion in springs) were seated together in a pub in
England discussing celestial mechanics. Hooke asserted that the motion
of the planets could be explained by assuming a force which varied as the
inverse square of the distance between the bodies. Wren challenged Hooke
to prove his inverse square law and offered a prize to him if he could
do it. After two months he was unable to provide a mathematical proof.
Halley went to his friend and colleague, Isaac Newton, to ask him if
he had ever consider the problem. Newton informed him that he had proved
it many years earlier but had just never bothered to actually write it
down somewhere. (Newton didn't handle criticism well and became very hesitant
to ever publish because of run-ins with others over his early work). Halley
urged his brilliant friend to write these things down and he also put up
the money to publish the resultant work - the classic work of classical
mechanics and moodern mathematics - Principia. It is for this work that
Newton is most famous and it became the foundation for celestial mechanics
and Newton's Laws.