{"id":"vidhyamitra:city-day:vrindavan:2039-12-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2039-12-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-12-31","date_display":"December 31, 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":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466153.770833,"kali_year":5141,"ahargana":1877688.2708,"sun":{"sidereal_longitude":254.4383,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":81.3573,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":186.919,"elapsed_within_tithi_degrees":6.919},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":81.3573,"elapsed_within_degrees":1.3573},"yoga":{"number":26,"name":"Indra","sum_longitude":335.7956},"karana":{"half_tithi_index":31,"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":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466153.770833,"ahargana":1877688.2708,"kali_year":5141,"ayanamsa_lahiri":24.4117,"grahas":{"sun":{"sidereal_longitude":254.78294800000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":80.33794799999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":2.2699},"mars":{"sidereal_longitude":77.82684799999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":251.27294800000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":156.21304799999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":217.605548,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":166.486848,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":51.0393,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.0393,"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":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466153.770833,"kali_year":5141,"ahargana":1877688.2708,"sun":{"sidereal_longitude":254.4383,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":81.3573,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":186.919,"elapsed_within_tithi_degrees":6.919},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":81.3573,"elapsed_within_degrees":1.3573},"yoga":{"number":26,"name":"Indra","sum_longitude":335.7956},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.27,"elongation":173.081},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.27,"opposition_distance":6.919}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:10","sunsetLocal":"17:35","solarNoonLocal":"12:23","dayLengthHours":10.422611046498048,"dayLengthDisplay":"10 Hours 25 Mins 21 Secs","nightLengthDisplay":"13 Hours 34 Mins 39 Secs","moonriseLocal":"17:52","moonsetLocal":"07:38","rahuKala":{"name":"Rāhu Kāla","start":"09:46","end":"11:04","startHours":9.771331153772245,"endHours":11.0741575345845,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:41","end":"14:59","startHours":13.679810296209013,"endHours":14.982636677021269,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:10","end":"08:28","startHours":7.165678392147733,"endHours":8.468504772959989,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.597620969663943,"endHours":9.945041337880546,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.599953852418484,"endHours":7.877890146991765,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:43","startHours":12.029563547180155,"endHours":12.724404283613358,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:28","startHours":5.775996919281326,"endHours":6.470837655714529,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.297127471606228,"endHours":7.165678392147733,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:49","startHours":14.114085756479765,"endHours":14.808926492912969,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:23","end":"17:47","startHours":17.38828943864578,"endHours":17.78828943864578,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:35","end":"18:01","startHours":17.58828943864578,"endHours":18.02256489891653,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:20","end":"19:05","startHours":17.33828943864578,"endHours":19.08828943864578,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:43","startHours":24.029563547180157,"endHours":24.724404283613357,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:10","end":"08:28","startHours":7.165678392147733,"endHours":8.468504772959989,"quality":"inauspicious"},{"name":"Śubha","start":"08:28","end":"09:46","startHours":8.468504772959989,"endHours":9.771331153772245,"quality":"auspicious"},{"name":"Roga","start":"09:46","end":"11:04","startHours":9.771331153772245,"endHours":11.0741575345845,"quality":"inauspicious"},{"name":"Udveg","start":"11:04","end":"12:23","startHours":11.0741575345845,"endHours":12.376983915396757,"quality":"inauspicious"},{"name":"Chala","start":"12:23","end":"13:41","startHours":12.376983915396757,"endHours":13.679810296209013,"quality":"neutral"},{"name":"Labha","start":"13:41","end":"14:59","startHours":13.679810296209013,"endHours":14.982636677021269,"quality":"auspicious"},{"name":"Amṛta","start":"14:59","end":"16:17","startHours":14.982636677021269,"endHours":16.285463057833525,"quality":"auspicious"},{"name":"Kāla","start":"16:17","end":"17:35","startHours":16.285463057833525,"endHours":17.58828943864578,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:35","end":"19:17","startHours":17.58828943864578,"endHours":19.285463057833525,"quality":"auspicious"},{"name":"Amṛta","start":"19:17","end":"20:59","startHours":19.285463057833525,"endHours":20.98263667702127,"quality":"auspicious"},{"name":"Kāla","start":"20:59","end":"22:41","startHours":20.98263667702127,"endHours":22.679810296209013,"quality":"inauspicious"},{"name":"Śubha","start":"22:41","end":"00:23","startHours":22.679810296209013,"endHours":24.376983915396757,"quality":"auspicious"},{"name":"Roga","start":"00:23","end":"02:04","startHours":24.376983915396757,"endHours":26.0741575345845,"quality":"inauspicious"},{"name":"Udveg","start":"02:04","end":"03:46","startHours":26.0741575345845,"endHours":27.771331153772245,"quality":"inauspicious"},{"name":"Chala","start":"03:46","end":"05:28","startHours":27.771331153772245,"endHours":29.46850477295999,"quality":"neutral"},{"name":"Labha","start":"05:28","end":"07:10","startHours":29.46850477295999,"endHours":31.165678392147733,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.165678392147733,"endHours":8.165678392147733,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.165678392147733,"endHours":9.165678392147733,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.165678392147733,"endHours":10.165678392147733,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.165678392147733,"endHours":11.165678392147733,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.165678392147733,"endHours":12.165678392147733,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.165678392147733,"endHours":13.165678392147733,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.165678392147733,"endHours":14.165678392147733,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.165678392147733,"endHours":15.165678392147733,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.165678392147733,"endHours":16.165678392147733,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.165678392147733,"endHours":17.165678392147733,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.165678392147733,"endHours":18.165678392147733,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.165678392147733,"endHours":19.165678392147733,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.165678392147733,"endHours":20.165678392147733,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.165678392147733,"endHours":21.165678392147733,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.165678392147733,"endHours":22.165678392147733,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.165678392147733,"endHours":23.165678392147733,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.165678392147733,"endHours":24.165678392147733,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.165678392147733,"endHours":25.165678392147733,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.165678392147733,"endHours":26.165678392147733,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.165678392147733,"endHours":27.165678392147733,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.165678392147733,"endHours":28.165678392147733,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.165678392147733,"endHours":29.165678392147733,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.165678392147733,"endHours":30.165678392147733,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.165678392147733,"endHours":31.165678392147733,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Dhūmra","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":-23.117751227242938,"eotMinutes":-3.2562349238053434,"ayanamsa":24.4117}},"calendars":{"vikram_samvat":2096,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1961,"saka_samvatsara":"Siddhārthī","bengali_samvat":1446,"malayalam_era":1215,"nanakshahi_year":570,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Pauṣa Kṛṣṇa Pratipada · 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":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 31, 2039 CE · Vṛndāvana · Vidhyamitra","description":"December 31, 2039 CE for Vṛndāvana: Kṛṣṇa Pratipada, sūryodaya 07:10, sūryāsta 17:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2039-12-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2039-12-31","sa":"https://sa.vidhyamitra.com/city/vrindavan/2039-12-31","hi":"https://hi.vidhyamitra.com/city/vrindavan/2039-12-31","x-default":"https://vidhyamitra.com/city/vrindavan/2039-12-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-22T16:16:40.810Z","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":"2026-09-22T16:16:40.810Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-22T16:16:40.810Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}