Clarifying distinction between genetic recombination , translocation. and transposition
Translocation is a mutation . Others are not necessarily .
By the way do not confuse those 3 terms with transversion and transition mutations.
Translocation refers to 2 concepts :

In protein localizing during/after transcription

wikipedia
article

A type of mutation in a chromosome

Chromosomal Translocation
(this is about the latter)

Translocation describes the relocation of a chromosomal segment to a
different position in the genome.

To some extent yes. Also It is a type of mutation . It does not happen normally and it is a result of malfunctioning proteins, mutagens etc. More importantly Translocation happens

a) between two nonhomologous chromosomes
b) between one chromosome and itself (it moves to a different locus
of the same chromosome)

See : Campbell biology 9th.ed.2011 Chapter 15 figure 15-14
you can say that
Translocation of DNA segments between homologous chromosomes has a specific name (&quot;duplication&quot;). Keep in mind that most of the times we do not consider a movement of DNA to a homologous DNA a &quot;translocation&quot; as noted above.
Recombination is a new combination of 2 DNA . Two DNA s become one. I believe the difference between Translocation and Recombination is that Translocation usually involves a huge amount of DNA (a lot of genes) compared to Recombintation ( probably not more than 10 genes or so)
I also agree with your statements on recombination. Here's more :

it usually describes a non-pathological process

Recombination happens in several ways. We have recombination resulted from DNA repair, recombination from Cross-over during meiosis, artificial lab DNA recombination (in vitro) and also recombination by some viruses during infection ( Recall Lysogenic cycles and retroviruses) or other vectors.
Therefore recombination CAN happen in pathologic and non-pathologic procedures.
See: Molecular Cell Biology Lodish et al 8th ed Section 5.6 &quot;DNA repair and Recombination&quot;
See T. L. Orr-Weaver and J. W. Szostak, 1985, Microbiol. Rev. 49:33.

Transposition:
essentially a special case of translocation which occurs as a result of transposase enzymes acting on mobile genetic elements

Correct. Still I'm quite sure that we DO NOT use the term &quot;Translocation&quot; but instead &quot;Recombination&quot; for transposition.
a special case of Recombination which occurs as a result of transposase enzymes acting on mobile genetic elements.
Transposition involoves 2 or 3 genes and also it is not a type of mutation. So it is not a translocation.
See: Molecular Cell Biology Lodish et al 8th ed Section 8.3 &quot;Transposable (Mobile) DNA Elements&quot;