The measurement and representation of the Earth, its shape and gravitational field, distances on the Earth, and coordinate systems for locating points on it including longitude and latitude.
Questions tagged [geodesy]
82 questions
3
votes
1 answer
What is the metric of the grs 80 ellipsoid?
So, similarly to how a $2$-sphere has the metric, and if I understand this correctly:
$$
g_{ij} =
\begin{bmatrix}
R^2 & 0 \\
0 & R^2\sin^2\theta
\end{bmatrix}
$$
I was wondering, in geodesy, what is the metric for the GRS 80 ellipsoid currently in…
sovemp
- 133
- 5
1
vote
0 answers
Reverse loxodrome length formula to calculate latitude with given distance between two points on a meridian (longitude is constant to zero)
I'm using a tool I've found online (https://planetcalc.com/713/), which allows calculating the distance between two points on loxodrome using a formula that considers the WGS 84 ellipsoid model. In particular, I want to know the distance only along…
NorthSon
- 111
1
vote
0 answers
If $p \in H^m$ and $v \in T_p H^m$, then the geodesic $\gamma: R \rightarrow H^m$ is given by $\gamma(t) = \cosh(t)p + \sinh(t) v$
Let $p \in H^{m}$ and $ v ∈ T_{p}H^{m} $ be given with $Q(v,v) = 1$. Then the geodesic $γ : R → H^{m}$ with $γ(0) = p $ and $˙γ^{'}(0) = v$ is given by $$γ(t) = \cosh(t)p + \sinh(t)v$$
with the Lorentz-Mikownsk metric. I have tried the definition in…
Kevin
- 121
1
vote
0 answers
Latitude Drift using Vincenty Direct Formula
I am impostor here, and am by no means mathematically literate, so please bare with me.
I have posted a software question on StackOverflow, regarding an unexpected drift in latitude using Vincenty's Direct formula;…
TommyGuns21
- 11
0
votes
0 answers
Vincenty's Formula Symbols
I have been researching about Vincenty's formula for my new programme but through many books I didn't find any explanation about the upper case A, upper case B and u square . Does someone knows what are there meaning?
I have read the…
