Your ascendant, midheaven and ten planets in the tropical zodiac, with Placidus houses.
Historic time zones · 34,000 cities offline · same ephemeris as the Vedic page
The three positions people ask for first are all in the output below. The sun sign is the one a magazine horoscope means. The moon sign needs the date and roughly the hour, because the Moon changes sign every two and a bit days. The rising sign — the ascendant — moves about one degree every four minutes, so it is the one that actually requires your birth time and birth place, and the one that is wrong on every site that lets you skip them.
This page and the Vedic page run the same ephemeris on the same birth moment. The difference is the reference frame: here the zodiac starts at the spring equinox, there it is fixed to the stars. Comparing the two pages side by side is the clearest way to see what the ayanamsha actually is.
The ascendant moves roughly one degree every four minutes, so a whole sign in about two hours. Ten minutes of error rarely changes a sign; an hour often does. The Moon can shift up to 15° in a day, which is why an unknown time is flagged rather than quietly filled in.
Retrograde — the planet appears to move backwards as seen from Earth. It is an apparent effect of the two orbits, not a change in the planet's actual direction.
The orb is how far from exact the aspect is. A square that is 0.5° off carries more weight than one 6° off, so each aspect is given an allowance: widest for the Sun and Moon, narrowest for the outer planets and the angles. When two bodies have different allowances the tighter one wins — a Sun–Pluto square is held to Pluto's 5°, not the Sun's 7°.
Applying means the two bodies were still moving toward the exact angle at the moment of birth; separating means they had already passed it. The direction is worked out from the real daily motion of each body, so a retrograde planet backing into an aspect is correctly read as applying. Aspects to the Ascendant and Midheaven carry no direction, because the angles move with the clock rather than along the zodiac.
Different zodiac and different house system, applied to the identical astronomical positions. Both pages are computed from the same ephemeris in the same run; only the reference frame differs.