Geometric Geodesy Lesson 2.1: Units, Time, and Coordinate System

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1
Why is a stable framework needed in geodesy?
Because Earth is not rigid; rotation, tides, and plate tectonics affect time and coordinates
2
What are the four basic units used in geodesy?
Time, length, angle, mass
3
What is a reference frame?
A realization of a reference system, represented by control points on the ground or satellites
4
Where are international standards for units maintained?
Bureau International des Poids et Mésures (BIPM), France
5
How is the second defined?
By 9,192,631,770 radiation periods of the cesium-133 atom transition (since 1967)
6
What was the older definition of a second?
1/86,000 of a mean solar day
7
What are the three main geodetic time systems?
UT1 (Earth’s rotation), TAI (atomic time), UTC (compromise using leap seconds)
8
Why is time important in satellite positioning?
Distance = speed of light × signal travel time (c × ∆t)
9
How was the meter originally defined in 1791?
1/10,000,000 of the distance from the equator to the North Pole along a great circle
10
How is the meter defined today?
The length of the path traveled by light in vacuum in 1/299,792,458 of a second
11
What is the uncertainty in the modern meter definition?
About 0.1 nm (10⁻¹⁰ m)
12
What is the kilogram originally based on?
The mass of one liter of water (1795), later the Kilogramme des Archives (1799)
13
What is the kilogram defined by today?
The Planck constant (2019)
14
What is a radian?
An angle subtended by an arc equal in length to the circle’s radius
15
How many degrees are in a full rotation?
360° = 2π radians
16
What is 1° equal to?
60 arcminutes (′), and 1′ = 60 arcseconds (″)
17
Which unit is natural for calculus and math?
Radians
18
Which unit is best for maps and visualization?
Degrees
19
What are the two main angle notations?
Decimal Degrees (DD) and Degrees-Minutes-Seconds (DMS)
20
Why is conversion between DMS and DD necessary?
Old data are often in DMS, while computers require DD
21
What is the gravitational constant (G)?
(6.67428 ± 0.00067) × 10⁻¹¹ m³ kg⁻¹ s⁻²
22
What are uses of G in geodesy?
Orbital mechanics, gravity strength, geoid modeling
23
What is a celestial reference system?
A space-fixed system, equatorial-based, centered at Earth, defining celestial bodies with spherical coordinates
24
What is a Cartesian coordinate system?
A 3D straight-line system (X, Y, Z) used for satellite orbits and global calculations
25
What is a curvilinear coordinate system?
Coordinates (φ, λ, h) relative to an ellipsoid, intuitive for mapping/navigation
26
What is a terrestrial reference system (ECEF)?
A geocentric system with origin at Earth’s center of mass, including atmosphere and ocean
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