Across
Orbital motion covering only 40 per cent of orbit is a chaotic situation (4-3-3)
Fine American vessel in trouble (4)
I haven't cracked this one yet — but Times for the Times have:
F USS
Knight set to participate in Australian service (7)
I haven't cracked this one yet — but Times for the Times have:
N (knight in chess) GEL in AUS; series of prayers commemorating the annunciation and incarnation
Radio operator's character is unvarying (7)
I haven't cracked this one yet — but Times for the Times have:
Uniform stands for U in the NATO alphabet
Late supporting worker (10)
Wrong book removed from account (3)
What's rum? "Alcoholic drink without head" should capture it (6)
Funny caption about Liberal not motivated by sex? (8)
I haven't cracked this one yet — but Times for the Times have:
L in anagram* of CAPTION
Dishonest scheme giving house to patient fellow (3-2,3)
Transformed room with two pieces of lurid gilded stuff (6)
Resistance when getting a parking charge (3)
Caper the writer's presented in flabby weak conclusion (10)
I haven't cracked this one yet — but Times for the Times have:
ANTIC (caper) IM in LAX (flabby)
Disreputable cut limiting a French book offering little light (7)
I haven't cracked this one yet — but Times for the Times have:
UN (a in French) B (book) in SEAM[y]
Prominent statement in court lacking power (7)
Record no openings for this employee (4)
For dispensing, try a cheapo chemist (10)
Down
Melee to become untidy at the edges (4)
Intellectual urge picked up with professor finally leaving (7)
I haven't cracked this one yet — but Times for the Times have:
EGG (urge) HEA[r]D; ‘picked’ AKA HEARD with the final letter of professor being deleted
Join the ranks, leading line with excellent resolve (4,4,5)
I haven't cracked this one yet — but Times for the Times have:
FALL IN (join the ranks) TOP (leading) L (line) ACE (excellent); or just biff and wonder which end of the clue is being referenced…
Stay on the left? (6)
Excellent litre, supported by University expert in beer (8)
I haven't cracked this one yet — but Times for the Times have:
L (litre) + U (univeristy) DAB (expert) in ALE
Crashed out, instrument not entirely ideal (7)
Restaged musical with unusual superficial likeness (10)
Uncertain blend of tea and dinnertime (13)
Study that involves European city coming in second? (10)
I haven't cracked this one yet — but Times for the Times have:
PARIS in MO in CON; an all-in-one
Son ignoring encouragement to drink not coming from senior level (6-2)
Bow of vessel that's raised speed at sea (7)
Company elevated operatic item with introduction of new wind instrument (7)
I haven't cracked this one yet — but Times for the Times have:
CO reversed N in ARIA
Give form to row, omitting last point (6)
Not looking good, using library, overlooking contents (4)
Type letters or click words in the clue