{"id":"vidhyamitra:city-day:melbourne:2045-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/melbourne/2045-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-01-01","date_display":"January 1, 2045 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2045,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467981.770833,"kali_year":5146,"ahargana":1879516.2708,"sun":{"sidereal_longitude":256.1925,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":43.754,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.5615,"elapsed_within_tithi_degrees":3.5615},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":43.754,"elapsed_within_degrees":3.754},"yoga":{"number":23,"name":"Śubha","sum_longitude":299.9464},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2045,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2467981.770833,"ahargana":1879516.2708,"kali_year":5146,"ayanamsa_lahiri":24.4816,"grahas":{"sun":{"sidereal_longitude":256.53370500000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":42.834704999999985,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":4.4999},"mars":{"sidereal_longitude":283.4844049999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":236.86890500000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":286.093705,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"venus":{"sidereal_longitude":237.35080500000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":221.72310500000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":314.1831,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":134.1831,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2045,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467981.770833,"kali_year":5146,"ahargana":1879516.2708,"sun":{"sidereal_longitude":256.1925,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":43.754,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.5615,"elapsed_within_tithi_degrees":3.5615},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":43.754,"elapsed_within_degrees":3.754},"yoga":{"number":23,"name":"Śubha","sum_longitude":299.9464},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.5,"elongation":147.561},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.5,"opposition_distance":32.439}},"eclipse_window_40days":[]},"city":{"slug":"melbourne","name":"Melbourne, Australia","lat":-37.8136,"lon":144.9631,"tz_offset_hours":10,"country":"AU","tier":"diaspora"},"tier2":{"city":{"slug":"melbourne","name":"Melbourne, Australia","lat":-37.8136,"lon":144.9631,"tz_offset_hours":10,"country":"AU","tier":"diaspora"},"sunriseLocal":"05:02","sunsetLocal":"19:46","solarNoonLocal":"12:24","dayLengthHours":14.724154902539574,"dayLengthDisplay":"14 Hours 43 Mins 27 Secs","nightLengthDisplay":"9 Hours 16 Mins 33 Secs","moonriseLocal":"17:17","moonsetLocal":"03:01","rahuKala":{"name":"Rāhu Kāla","start":"17:55","end":"19:46","startHours":17.919104393842275,"endHours":19.75962375665972,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:24","end":"14:14","startHours":12.397546305389934,"endHours":14.23806566820738,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"16:05","end":"17:55","startHours":16.078585031024826,"endHours":17.919104393842275,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:28","end":"08:58","startHours":8.471104998046046,"endHours":8.961910161464033,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:39","end":"06:02","startHours":5.648975308392628,"endHours":6.041619439127016,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:53","startHours":11.906741141971947,"endHours":12.88835146880792,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:04","end":"04:03","startHours":3.072248200448203,"endHours":4.0538585272841745,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:49","end":"05:02","startHours":3.808455945575181,"endHours":5.035468854120146,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:51","end":"15:50","startHours":14.851572122479862,"endHours":15.833182449315833,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:34","end":"19:58","startHours":19.55962375665972,"endHours":19.95962375665972,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:46","end":"20:22","startHours":19.75962375665972,"endHours":20.373130210932203,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:31","end":"21:16","startHours":19.50962375665972,"endHours":21.25962375665972,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:53","startHours":23.90674114197195,"endHours":24.88835146880792,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:02","end":"06:53","startHours":5.035468854120146,"endHours":6.875988216937593,"quality":"inauspicious"},{"name":"Chala","start":"06:53","end":"08:43","startHours":6.875988216937593,"endHours":8.716507579755039,"quality":"neutral"},{"name":"Labha","start":"08:43","end":"10:33","startHours":8.716507579755039,"endHours":10.557026942572486,"quality":"auspicious"},{"name":"Amṛta","start":"10:33","end":"12:24","startHours":10.557026942572486,"endHours":12.397546305389934,"quality":"auspicious"},{"name":"Kāla","start":"12:24","end":"14:14","startHours":12.397546305389934,"endHours":14.23806566820738,"quality":"inauspicious"},{"name":"Śubha","start":"14:14","end":"16:05","startHours":14.23806566820738,"endHours":16.078585031024826,"quality":"auspicious"},{"name":"Roga","start":"16:05","end":"17:55","startHours":16.078585031024826,"endHours":17.919104393842275,"quality":"inauspicious"},{"name":"Udveg","start":"17:55","end":"19:46","startHours":17.919104393842275,"endHours":19.75962375665972,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:46","end":"20:55","startHours":19.75962375665972,"endHours":20.919104393842275,"quality":"auspicious"},{"name":"Roga","start":"20:55","end":"22:05","startHours":20.919104393842275,"endHours":22.07858503102483,"quality":"inauspicious"},{"name":"Udveg","start":"22:05","end":"23:14","startHours":22.07858503102483,"endHours":23.23806566820738,"quality":"inauspicious"},{"name":"Chala","start":"23:14","end":"00:24","startHours":23.23806566820738,"endHours":24.397546305389934,"quality":"neutral"},{"name":"Labha","start":"00:24","end":"01:33","startHours":24.397546305389934,"endHours":25.557026942572488,"quality":"auspicious"},{"name":"Amṛta","start":"01:33","end":"02:43","startHours":25.557026942572488,"endHours":26.71650757975504,"quality":"auspicious"},{"name":"Kāla","start":"02:43","end":"03:53","startHours":26.71650757975504,"endHours":27.875988216937593,"quality":"inauspicious"},{"name":"Śubha","start":"03:53","end":"05:02","startHours":27.875988216937593,"endHours":29.035468854120147,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:02","end":"06:02","startHours":5.035468854120146,"endHours":6.035468854120146,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:02","end":"07:02","startHours":6.035468854120146,"endHours":7.035468854120146,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:02","end":"08:02","startHours":7.035468854120146,"endHours":8.035468854120147,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:02","end":"09:02","startHours":8.035468854120147,"endHours":9.035468854120147,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:02","end":"10:02","startHours":9.035468854120147,"endHours":10.035468854120147,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:02","end":"11:02","startHours":10.035468854120147,"endHours":11.035468854120147,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:02","end":"12:02","startHours":11.035468854120147,"endHours":12.035468854120147,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:02","end":"13:02","startHours":12.035468854120147,"endHours":13.035468854120147,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:02","end":"14:02","startHours":13.035468854120147,"endHours":14.035468854120147,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:02","end":"15:02","startHours":14.035468854120147,"endHours":15.035468854120147,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:02","end":"16:02","startHours":15.035468854120147,"endHours":16.035468854120147,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:02","end":"17:02","startHours":16.035468854120147,"endHours":17.035468854120147,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:02","end":"18:02","startHours":17.035468854120147,"endHours":18.035468854120147,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:02","end":"19:02","startHours":18.035468854120147,"endHours":19.035468854120147,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:02","end":"20:02","startHours":19.035468854120147,"endHours":20.035468854120147,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:02","end":"21:02","startHours":20.035468854120147,"endHours":21.035468854120147,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:02","end":"22:02","startHours":21.035468854120147,"endHours":22.035468854120147,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:02","end":"23:02","startHours":22.035468854120147,"endHours":23.035468854120147,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:02","end":"00:02","startHours":23.035468854120147,"endHours":24.035468854120147,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:02","end":"01:02","startHours":24.035468854120147,"endHours":25.035468854120147,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:02","end":"02:02","startHours":25.035468854120147,"endHours":26.035468854120147,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:02","end":"03:02","startHours":26.035468854120147,"endHours":27.035468854120147,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:02","end":"04:02","startHours":27.035468854120147,"endHours":28.035468854120147,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:02","end":"05:02","startHours":28.035468854120147,"endHours":29.035468854120147,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.9796839494255,"eotMinutes":-3.705178323396069,"ayanamsa":24.4816}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"melbourne"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 1, 2045 CE · Melbourne, Australia · Vidhyamitra","description":"January 1, 2045 CE for Melbourne, Australia: Śukla Trayodaśī, sūryodaya 05:02, sūryāsta 19:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/melbourne/2045-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/melbourne/2045-01-01","sa":"https://sa.vidhyamitra.com/city/melbourne/2045-01-01","hi":"https://hi.vidhyamitra.com/city/melbourne/2045-01-01","x-default":"https://vidhyamitra.com/city/melbourne/2045-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T15:42:15.064Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-31T15:42:15.064Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T15:42:15.064Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}