CELESTIAL CALCULATOR & EPHEMERIS·NOAA & MEEUS

Astronomy · Waterloo

A live observatory for the Sun, Moon, daylight, twilight and the sky above Waterloo.

LIVE CELESTIAL STATE

The Sun is above the horizon

Waterloo · 13:05 solar noon · 10h 40m of daylight

LOCAL OBSERVATION12:002026-10-23 · America/Toronto
SUN
33.0°SSE · azimuth 160.5°
MOON
Waxing Gibbous98.4% illuminated · -43.9° altitude
LIGHT
10h 40mdaylight · 13h 20m night
RISE 07:46SET 18:25
TWILIGHT
18:55civil dusk · astronomical dusk 20:01
DAWN 07:16DUSK 18:55
CELESTIAL HORIZONAltitude · current observation
N
E
S
W
Sun
Moon
0° horizon45°90° zenith
PLANETARY EPHEMERIS

Solar System · Waterloo

Topocentric positions for the selected observation time. Coordinates update with the Time Machine.

4 visible above horizon
BODYALTAZRADECDISTANCEMAGRISE / SET
MercuryVISIBLE25.6°180°15.18h-20.9°0.795 AU0.409:42 / 19:01
VenusVISIBLE25.5°203°13.76h-18.0°0.273 AU-4.308:01 / 17:50
MarsVISIBLE11.8°284°9.15h17.9°1.498 AU1.001:07 / 15:37
JupiterVISIBLE15.6°275°9.72h14.4°5.622 AU-2.001:55 / 15:55
SaturnBELOW HORIZON-33.4°48°0.67h1.4°8.490 AU0.317:44 / 05:59
UranusBELOW HORIZON-23.6°345°4.20h21.0°18.611 AU5.619:55 / 10:50
NeptuneBELOW HORIZON-30.6°56°0.18h-0.4°28.996 AU7.817:21 / 05:23
SOLAR SYSTEM

Planetary Orbits · 2026-10-23 12:00

Heliocentric orbital geometry for the selected instant. Distances use a logarithmic visual scale so the inner planets remain readable.

☿♀♂♃♄♅♆🜨SUN
🜨 Earth
0.995 AUheliocentric distance
ORBIT
1.000 AU
ECCENTRICITY
0.0167
INCLINATION
-0.00°
TRUE ANOMALY
286.9°
FROM EARTH
0.995 AU
ALT / AZ
50.0° / 135°
EARTH · MOON · SUN

Three-Body Relationship · 2026-10-23 12:00

Geocentric directions and lunar phase at the selected instant. The geometry is intentionally schematic, not to scale.

ELONGATION147.5°
EARTH
SUN
MOON
MOON PHASEWaxing Gibbous
ILLUMINATION98.4%
MOON DISTANCE381,034.585 km
SUN DISTANCE0.99490 AU
PHASE ANGLE14.5°
CELESTIAL ATLAS

Constellation Map · Equatorial Coordinates

Real right ascension and declination for selected reference stars. This map is a chart, so the denser astronomical treatment stays here rather than in Living Sky.

Betelgeuse
Bellatrix
Alnilam
Alnitak
Mintaka
Rigel
RIGHT ASCENSION →
DECLINATION ↑
Orion6 reference stars

Coordinates are plotted in an equatorial frame, independent of local horizon orientation.

Betelgeuse
5.92h · 7.4° · mag 0.5
Bellatrix
5.42h · 6.3° · mag 1.6
Alnilam
5.60h · -1.2° · mag 1.7
Alnitak
5.68h · -1.9° · mag 1.7
Mintaka
5.53h · -0.3° · mag 2.2
Rigel
5.24h · -8.2° · mag 0.1
DEEP SKY ATLAS

Celestial Objects · Waterloo

Bright Messier objects plotted from their equatorial coordinates and evaluated for the selected time and location.

Andromeda Galaxy
ZENITH
HORIZON
EAST
WEST
M31 · NGC 224Andromeda GalaxyGalaxy · apparent magnitude 3.44
RA
0.71h
DEC
41.27°
ALTITUDE
87.7°
AZIMUTH
199.7°
HOUR ANGLE
1.0°
ANGULAR SIZE
178′ × 63′
ABOVE HORIZON