Rutherford interpreted the gold foil experiment as suggesting that the positive charge of a heavy gold atom and most of its mass was concentrated in a nucleus at the center of the atom — the Rutherford model.

Astrometry has also been used to support claims of extrasolar planet detection by measuring the displacement the proposed planets cause in their parent star's apparent position on the sky, due to their mutual orbit around the center of mass of the system.

It is very often convenient to consider the angular momentum of a collection of particles about their center of mass, since this simplifies the mathematics considerably.

The center of mass is defined by:

It follows that the velocity of the center of mass is

If we define r < sub > i </ sub > as the displacement of particle i from the center of mass, and v < sub > i </ sub > as the velocity of particle i with respect to the center of mass, then we have

The first term is just the angular momentum of the center of mass.

It is the same angular momentum one would obtain if there were just one particle of mass M moving at velocity V located at the center of mass.

The second term is the angular momentum that is the result of the particles moving relative to their center of mass.

A bicycle stays upright while moving forward by being steered so as to keep its center of mass over the wheels.

The combined center of mass of a bicycle and its rider must lean into a turn to successfully navigate it.

The imperial army drew up facing south-westward towards Bouvines, the heavy cavalry on the wings, the infantry in one great mass in the center, supported by the cavalry corps under the emperor himself.

* The tension in a string joining two spheres rotating about their center of mass.

The tension in the string will be proportional to the centrifugal force on each sphere as it rotates around the common center of mass.

The gravitational force acts on each object toward the other, which is toward the center of mass of the two objects ; for circular orbits, this center of gravity is the center of the circular orbits.

There are two forces ; one is the force of gravity vertically downward through the center of mass of the ball mg where m is the mass of the ball and g is the gravitational acceleration ; the second is the upward normal force exerted by the road perpendicular to the road surface ma < sub > n </ sub >.

Experimentally, however, the total kinetic energy is found to be much greater: in particular, assuming the gravitational mass is due to only the visible matter of the galaxy, stars far from the center of galaxies have much higher velocities than predicted by the virial theorem.

For objects extended in space, such as a diver jumping from a diving board, the object itself follows a complex motion as it rotates, but the center of mass of the object nevertheless forms a parabola.

The orientation of a static and stable object in water, such as a diver, is determined by its center of buoyancy and its center of mass.

Generally, the diver has minimal control of the relative position of the center of buoyancy in the BC during a dive, but only its quantity.

However the diver can change the buoyancy center by control of his equipment setup, which includes its configuration and weighting locations, which ultimately influence where his effective BC lift is positioned relative to his Center of Gravity.

An inflated Horsecollar always provides this orientation, but an inflated Vest, and all styles of BP / w generally float the diver face-down because the center of buoyancy is too far from the diver's front.

This floating orientation is generally considered undesirable and can be minimized pre-dive by relocation of some of the weights ( perhaps of quick release type ) further to the rear ( such as in pockets close to the diver's cylinder ), and avoiding the use of aluminum tanks and using higher density cylinders ( typically steel ), which similarly moves the center of mass to be further behind the diver, and thus, behind the center of buoyancy.

Brashear ( center ), the Navy's first African-American master diver, received an Outstanding Public Service Award in October 2000 from actor Cuba Gooding, Jr. and then-Secretary of Defense | Defense Secretary William Cohen for 42 years of combined military and federal civilian service.

The trail, which stretches and originates from Comstock Park, follows an abandoned railroad bed into the center of the city.

Since every central subgroup is normal, it follows that every minimal normal subgroup of a finite p-group is central and has order p. Indeed, the socle of a finite p-group is the subgroup of the center consisting of the central elements of order p.

The order of march of the German army was as follows: the three Bavarian contingents, the Frankish contingent under Duke Konrad, the royal unit ( the center ), the two contingents of Swabians and the Bohemian contingent.

Takoma Park is bounded by downtown Silver Spring, Maryland, a major urban center to the northwest, by Montgomery College campus ; East Silver Spring, a community of houses, apartments and small shops, along Flower Avenue and Piney Branch Road, to the north ; Langley Park, Maryland, a community of apartments and shopping centers, along University Boulevard to the northeast ; Chillum, Maryland, in Prince George's County to the southeast, bounded by New Hampshire Avenue, a state highway ; and Takoma, Washington, D. C. to the southwest, separated by Eastern Avenue, which follows the District of Columbia line.

At the center of Douglas, the Post Road follows Massachusetts Route 16 eastward to East Douglas.

It follows that road to Route 16, which follows the route of the Post Road for approximately one-half mile eastward to Maple Street, which follows the route into Mendon town center.

The distinctions between the two however are as follows: 1 ) the petiole attaches at the base of the leaf rather than at the center of the leaf like Cecropia and 2 ) Pourouma has leaf lobes that are triangular and pointed at the tip, whereas most Cecropia are rounded.

The order of the keys follows Hindemith's ranking of musical intervals around the tonal center of C.

* 25px25px Truck Pennsylvania Route 711-bypass of Downtown Connellsville that is partially cosigned with US 119 near its southern terminus and follows somewhat narrow but relatively flat city streets to avoid the hilly city center

In the presence of the static, uniform external magnetic field, the Hamiltonian for the absorbing center takes the form Ĥ = Ĥ < sub > 0 </ sup > + Ĥ < sub > 1 </ sup > which is parallel to the direction of the propagation of the electric field k. Because the transition occur between the two eigenstates of Ĥ < sub > 0 </ sub >, a and j, the absorption and the CD intensity are determined as follows:

Route 114, which follows the path of the old " Salem Turnpike ," passes through the center of town, and is crossed there by Route 62, which merges with Route 114 for a short, 0. 2 mile stretch there.

The Longleaf Trace, a recreational trail which follows the route of the former Mississippi Central Railroad, runs through the center of town.

U. S. Route 321 follows Main Street through the center of the town and connects Greeneville to Newport to the southwest.

Because the internal bisector of an angle is perpendicular to its external bisector, it follows that the center of the incircle together with the three excircle centers form an orthocentric system.

This division of the island, which roughly follows the mountain range in the center of the island, corresponds to the two ethno-linguistic groups.

Mondino follows Galen and the Islamic commentators in placing the lens in the center of the eye.

Between the start of the limited access section of Route 2 and its split from I-91 at Exit 24, the Mohawk Trail follows Massachusetts Route 2A, which uses Route 2's former right of way through the center of Greenfield.

shows that the velocity V = dR / dt of the center of mass is constant, from which follows that the total momentum m < sub > 1 </ sub > v < sub > 1 </ sub > + m < sub > 2 </ sub > v < sub > 2 </ sub > is also constant ( conservation of momentum ).

As well as the complex Lie group of type E < sub > 6 </ sub >, there are five real forms of the Lie algebra, and correspondingly five real forms of the group with trivial center ( all of which have an algebraic double cover, and three of which have further non-algebraic covers, giving further real forms ), all of real dimension 78, as follows:

It follows from the definition that the inversion of any point inside the reference circle must lie outside it, and vice-versa, with the center and the point at infinity changing positions, whilst any point on the circle is unaffected.