Chinú

Chinú is a town and municipality located in the Córdoba Department, northern Colombia.

References

Coordinates: 9°05′N 75°20′W / 9.083°N 75.333°W / 9.083; -75.333

Chen (surname)

Chen ([ʈʂʰə̌n]) or Chan (simplified Chinese: 陈; traditional Chinese: 陳; pinyin: Chén; Wade–Giles: Ch'en) is one of the most common Han Chinese and Korean family names. It ranks as the 5th most common surname in China, as of 2007 and the most common surname in Singapore (2000) and Taiwan (2010). Chen is also the most common family name in Guangdong, Zhejiang, Fujian, Hong Kong (spelt Chan in Hong Kong and Macau). It is the most common surname in Xiamen, the ancestral hometown of many overseas Hoklo. Besides 陳/陈, an uncommon Chinese surname 諶/谌 is also romanized as Chen.

It is usually romanised as Chan in Cantonese, most widely used by those from Hong Kong, and sometimes as Chun. The surname Chen is also used in Hong Kong Cantonese, but not as often. The spelling, Chan, is widely used in Macao and Malaysia. In Min (including dialects of Chaoshan (Teochew), Hainan, Fujian, and Taiwan), the name is pronounced Tan. In Hakka and Taishanese, the name is spelled Gin. Some other Romanisations include Zen (from Wu), Ding and Chern. Chen can be variously spelt Tan, Chan or Chin in Singapore, Malaysia, Philippines and other Southeast Asian countries.

Chin (disambiguation)

The chin is the lowermost part of the human face.

Chin may also refer to:

Myanmar

Personal names

Roll

Roll may refer to:

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Flight dynamics

Flight dynamics is the study of the performance, stability, and control of vehicles flying through the air or in outer space. It is concerned with how forces acting on the vehicle influence its speed and attitude with respect to time.

In fixed-wing aircraft, the changing orientation of the vehicle with respect to the local air flow is represented by two critical parameters, angle of attack ("alpha") and angle of sideslip ("beta"). These angles describe the vector direction of airspeed, important because it is the principal source of modulations in the aerodynamic forces and moments applied to the aircraft.

Spacecraft flight dynamics involve three forces: propulsive (rocket engine), gravitational, and lift and drag (when traveling through the earths or any other celestial atmosphere). Because aerodynamic forces involved with spacecraft flight are very small, this leaves gravity as the dominant force.

Aircraft and spacecraft share a critical interest in their orientation with respect to the earth horizon and heading, and this is represented by another set of angles, "yaw," "pitch" and "roll" which angles match their colloquial meaning, but also have formal definition as an Euler sequence. These angles are the product of the rotational equations of motion, where orientation responds to torque, just as the velocity of a vehicle responds to forces. For all flight vehicles, these two sets of dynamics, rotational and translational, operate simultaneously and in a coupled fashion to evolve the vehicle's state (orientation and velocity) trajectory.

Euler angles

The Euler angles are three angles introduced by Leonhard Euler to describe the orientation of a rigid body. To describe such an orientation in 3-dimensional Euclidean space three parameters are required. They can be given in several ways, Euler angles being one of them; see charts on SO(3) for others. Euler angles are also used to describe the orientation of a frame of reference (typically, a coordinate system or basis) relative to another. They are typically denoted as α, β, γ, or φ, θ, ψ.

Euler angles represent a sequence of three elemental rotations, i.e. rotations about the axes of a coordinate system. For instance, a first rotation about z by an angle α, a second rotation about x by an angle β, and a last rotation again about y, by an angle γ. These rotations start from a known standard orientation. In physics, this standard initial orientation is typically represented by a motionless (fixed, global, or world) coordinate system; in linear algebra, by a standard basis.

Any orientation can be achieved by composing three elemental rotations. The elemental rotations can either occur about the axes of the fixed coordinate system (extrinsic rotations) or about the axes of a rotating coordinate system, which is initially aligned with the fixed one, and modifies its orientation after each elemental rotation (intrinsic rotations). The rotating coordinate system may be imagined to be rigidly attached to a rigid body. In this case, it is sometimes called a local coordinate system. Without considering the possibility of using two different conventions for the definition of the rotation axes (intrinsic or extrinsic), there exist twelve possible sequences of rotation axes, divided in two groups:

Rich

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