{"id":"vidhyamitra:city-day:melbourne:2039-12-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/melbourne/2039-12-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-12-24","date_display":"December 24, 2039 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2039,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466146.770833,"kali_year":5141,"ahargana":1877681.2708,"sun":{"sidereal_longitude":247.2434,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":353.233,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":105.9896,"elapsed_within_tithi_degrees":9.9896},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":353.233,"elapsed_within_degrees":6.5663},"yoga":{"number":19,"name":"Parigha","sum_longitude":240.4764},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2039,"month":12,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466146.770833,"ahargana":1877681.2708,"kali_year":5141,"ayanamsa_lahiri":24.4115,"grahas":{"sun":{"sidereal_longitude":247.651115,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":356.674615,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false,"latitude":-3.8225},"mars":{"sidereal_longitude":80.54541499999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":240.22801500000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":155.773915,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":209.09671500000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":166.18351499999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":51.4102,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.4102,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2039,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466146.770833,"kali_year":5141,"ahargana":1877681.2708,"sun":{"sidereal_longitude":247.2434,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":353.233,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":105.9896,"elapsed_within_tithi_degrees":9.9896},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":353.233,"elapsed_within_degrees":6.5663},"yoga":{"number":19,"name":"Parigha","sum_longitude":240.4764},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.822,"elongation":105.99},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.822,"opposition_distance":74.01}},"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":"04:57","sunsetLocal":"19:44","solarNoonLocal":"12:20","dayLengthHours":14.78238169409843,"dayLengthDisplay":"14 Hours 46 Mins 57 Secs","nightLengthDisplay":"9 Hours 13 Mins 03 Secs","moonriseLocal":"13:59","moonsetLocal":"01:13","rahuKala":{"name":"Rāhu Kāla","start":"08:38","end":"10:29","startHours":8.640622513208982,"endHours":10.488420224971286,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:11","end":"16:02","startHours":14.184015648495894,"endHours":16.031813360258194,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"04:57","end":"06:48","startHours":4.945027089684374,"endHours":6.792824801446677,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:24","end":"08:53","startHours":8.394249484974008,"endHours":8.886995541443955,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:34","end":"05:57","startHours":5.560959660271809,"endHours":5.955156505447768,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:50","startHours":11.84347188026364,"endHours":12.828963993203535,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:58","end":"03:58","startHours":2.9740428638045837,"endHours":3.9595349767444787,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:43","end":"04:57","startHours":3.713161948509505,"endHours":4.945027089684374,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:48","end":"15:47","startHours":14.799948219083326,"endHours":15.78544033202322,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:32","end":"19:56","startHours":19.527408783782803,"endHours":19.927408783782802,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:44","end":"20:21","startHours":19.727408783782803,"endHours":20.34334135437024,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:29","end":"21:14","startHours":19.477408783782803,"endHours":21.227408783782803,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:50","startHours":23.843471880263643,"endHours":24.828963993203537,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"04:57","end":"06:48","startHours":4.945027089684374,"endHours":6.792824801446677,"quality":"inauspicious"},{"name":"Śubha","start":"06:48","end":"08:38","startHours":6.792824801446677,"endHours":8.640622513208982,"quality":"auspicious"},{"name":"Roga","start":"08:38","end":"10:29","startHours":8.640622513208982,"endHours":10.488420224971286,"quality":"inauspicious"},{"name":"Udveg","start":"10:29","end":"12:20","startHours":10.488420224971286,"endHours":12.33621793673359,"quality":"inauspicious"},{"name":"Chala","start":"12:20","end":"14:11","startHours":12.33621793673359,"endHours":14.184015648495894,"quality":"neutral"},{"name":"Labha","start":"14:11","end":"16:02","startHours":14.184015648495894,"endHours":16.031813360258194,"quality":"auspicious"},{"name":"Amṛta","start":"16:02","end":"17:53","startHours":16.031813360258194,"endHours":17.8796110720205,"quality":"auspicious"},{"name":"Kāla","start":"17:53","end":"19:44","startHours":17.8796110720205,"endHours":19.727408783782803,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:44","end":"20:53","startHours":19.727408783782803,"endHours":20.8796110720205,"quality":"auspicious"},{"name":"Amṛta","start":"20:53","end":"22:02","startHours":20.8796110720205,"endHours":22.031813360258194,"quality":"auspicious"},{"name":"Kāla","start":"22:02","end":"23:11","startHours":22.031813360258194,"endHours":23.18401564849589,"quality":"inauspicious"},{"name":"Śubha","start":"23:11","end":"00:20","startHours":23.18401564849589,"endHours":24.33621793673359,"quality":"auspicious"},{"name":"Roga","start":"00:20","end":"01:29","startHours":24.33621793673359,"endHours":25.488420224971286,"quality":"inauspicious"},{"name":"Udveg","start":"01:29","end":"02:38","startHours":25.488420224971286,"endHours":26.64062251320898,"quality":"inauspicious"},{"name":"Chala","start":"02:38","end":"03:48","startHours":26.64062251320898,"endHours":27.792824801446677,"quality":"neutral"},{"name":"Labha","start":"03:48","end":"04:57","startHours":27.792824801446677,"endHours":28.945027089684373,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:57","end":"05:57","startHours":4.945027089684374,"endHours":5.945027089684374,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"05:57","end":"06:57","startHours":5.945027089684374,"endHours":6.945027089684374,"planetary_lord":"Moon"},{"name":"Hora 3","start":"06:57","end":"07:57","startHours":6.945027089684374,"endHours":7.945027089684374,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"07:57","end":"08:57","startHours":7.945027089684374,"endHours":8.945027089684373,"planetary_lord":"Venus"},{"name":"Hora 5","start":"08:57","end":"09:57","startHours":8.945027089684373,"endHours":9.945027089684373,"planetary_lord":"Sun"},{"name":"Hora 6","start":"09:57","end":"10:57","startHours":9.945027089684373,"endHours":10.945027089684373,"planetary_lord":"Mars"},{"name":"Hora 7","start":"10:57","end":"11:57","startHours":10.945027089684373,"endHours":11.945027089684373,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"11:57","end":"12:57","startHours":11.945027089684373,"endHours":12.945027089684373,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"12:57","end":"13:57","startHours":12.945027089684373,"endHours":13.945027089684373,"planetary_lord":"Moon"},{"name":"Hora 10","start":"13:57","end":"14:57","startHours":13.945027089684373,"endHours":14.945027089684373,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"14:57","end":"15:57","startHours":14.945027089684373,"endHours":15.945027089684373,"planetary_lord":"Venus"},{"name":"Hora 12","start":"15:57","end":"16:57","startHours":15.945027089684373,"endHours":16.945027089684373,"planetary_lord":"Sun"},{"name":"Hora 13","start":"16:57","end":"17:57","startHours":16.945027089684373,"endHours":17.945027089684373,"planetary_lord":"Mars"},{"name":"Hora 14","start":"17:57","end":"18:57","startHours":17.945027089684373,"endHours":18.945027089684373,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"18:57","end":"19:57","startHours":18.945027089684373,"endHours":19.945027089684373,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"19:57","end":"20:57","startHours":19.945027089684373,"endHours":20.945027089684373,"planetary_lord":"Moon"},{"name":"Hora 17","start":"20:57","end":"21:57","startHours":20.945027089684373,"endHours":21.945027089684373,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"21:57","end":"22:57","startHours":21.945027089684373,"endHours":22.945027089684373,"planetary_lord":"Venus"},{"name":"Hora 19","start":"22:57","end":"23:57","startHours":22.945027089684373,"endHours":23.945027089684373,"planetary_lord":"Sun"},{"name":"Hora 20","start":"23:57","end":"00:57","startHours":23.945027089684373,"endHours":24.945027089684373,"planetary_lord":"Mars"},{"name":"Hora 21","start":"00:57","end":"01:57","startHours":24.945027089684373,"endHours":25.945027089684373,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"01:57","end":"02:57","startHours":25.945027089684373,"endHours":26.945027089684373,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"02:57","end":"03:57","startHours":26.945027089684373,"endHours":27.945027089684373,"planetary_lord":"Moon"},{"name":"Hora 24","start":"03:57","end":"04:57","startHours":27.945027089684373,"endHours":28.945027089684373,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"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":-23.420408569044945,"eotMinutes":-0.025476204015291604,"ayanamsa":24.4115}},"calendars":{"vikram_samvat":2096,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1961,"saka_samvatsara":"Siddhārthī","bengali_samvat":1446,"malayalam_era":1215,"nanakshahi_year":570,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","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":"Mārgaśīrṣa Śukla Navamī · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 December 24, 2039 CE · Melbourne, Australia · Vidhyamitra","description":"December 24, 2039 CE for Melbourne, Australia: Śukla Navamī, sūryodaya 04:57, sūryāsta 19:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/melbourne/2039-12-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/melbourne/2039-12-24","sa":"https://sa.vidhyamitra.com/city/melbourne/2039-12-24","hi":"https://hi.vidhyamitra.com/city/melbourne/2039-12-24","x-default":"https://vidhyamitra.com/city/melbourne/2039-12-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T11:48:29.338Z","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":"2026-08-10T11:48:29.338Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T11:48:29.338Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}