A set of three PDEs that describe the behavior of these phenomena were derived by Laplace.
A set of three PDEs that describe the behavior of these phenomena were derived by Laplace. When there is no net transfer of angular momentum between a body and its satellite, such that the same face of the satellite always faces the body, they are termed "locked" via this phenomenon. These phenomena have zero amplitude at amphidromic points. The volcanism of Io results from heating by forces of this phenomenon. When these phenomena form waves that travel up a river or bay they are termed bores. At their maxima they are known as "spring" and at their minima as "neap." For 10 points, name these phenomena, the rise and fall of the sea levels resulting from the gravity of the moon and sun. 
A set of three PDEs that describe the behavior of these phenomena were derived by Laplace.
tides