{"id":"vidhyamitra:city-day:vrindavan:2126-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2126-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2126-12-20","date_display":"December 20, 2126 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":2126,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497918.770833,"kali_year":5228,"ahargana":1909453.2708,"sun":{"sidereal_longitude":241.5825,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":313.2334,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":71.6509,"elapsed_within_tithi_degrees":11.6509},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":313.2334,"elapsed_within_degrees":6.5667},"yoga":{"number":15,"name":"Vajra","sum_longitude":194.8159},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2126,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2497918.770833,"ahargana":1909453.2708,"kali_year":5228,"ayanamsa_lahiri":25.6266,"grahas":{"sun":{"sidereal_longitude":242.244691,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":314.583791,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false,"latitude":2.5628},"mars":{"sidereal_longitude":179.13389099999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":248.70719099999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":254.57599099999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":262.37079100000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":149.36179099999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":167.9768,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":347.9768,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2126,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2497918.770833,"kali_year":5228,"ahargana":1909453.2708,"sun":{"sidereal_longitude":241.5825,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":313.2334,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":71.6509,"elapsed_within_tithi_degrees":11.6509},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":313.2334,"elapsed_within_degrees":6.5667},"yoga":{"number":15,"name":"Vajra","sum_longitude":194.8159},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.563,"elongation":71.651},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.563,"opposition_distance":108.349}},"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":"07:06","sunsetLocal":"17:29","solarNoonLocal":"12:18","dayLengthHours":10.397503599264567,"dayLengthDisplay":"10 Hours 23 Mins 51 Secs","nightLengthDisplay":"13 Hours 36 Mins 09 Secs","moonriseLocal":"11:20","moonsetLocal":"22:53","rahuKala":{"name":"Rāhu Kāla","start":"11:00","end":"12:18","startHours":10.992160091384118,"endHours":12.291848041292187,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:53","end":"16:11","startHours":14.89122394110833,"endHours":16.190911891016402,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:24","end":"09:42","startHours":8.392784191567976,"endHours":9.692472141476046,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:52","startHours":9.519180414821637,"endHours":9.865763868130456,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:48","startHours":7.5263255582959285,"endHours":7.803592320942983,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:38","startHours":11.945264587983369,"endHours":12.638431494601006,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:24","startHours":5.7067624284246286,"endHours":6.399929335042267,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:06","startHours":6.226637608387858,"endHours":7.093096241659905,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:43","startHours":14.024765307836283,"endHours":14.71793221445392,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.29059984092447,"endHours":17.69059984092447,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.49059984092447,"endHours":17.923829157560494,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.24059984092447,"endHours":18.99059984092447,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:38","startHours":23.945264587983367,"endHours":24.638431494601008,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:06","end":"08:24","startHours":7.093096241659905,"endHours":8.392784191567976,"quality":"neutral"},{"name":"Labha","start":"08:24","end":"09:42","startHours":8.392784191567976,"endHours":9.692472141476046,"quality":"auspicious"},{"name":"Amṛta","start":"09:42","end":"11:00","startHours":9.692472141476046,"endHours":10.992160091384118,"quality":"auspicious"},{"name":"Kāla","start":"11:00","end":"12:18","startHours":10.992160091384118,"endHours":12.291848041292187,"quality":"inauspicious"},{"name":"Śubha","start":"12:18","end":"13:35","startHours":12.291848041292187,"endHours":13.59153599120026,"quality":"auspicious"},{"name":"Roga","start":"13:35","end":"14:53","startHours":13.59153599120026,"endHours":14.89122394110833,"quality":"inauspicious"},{"name":"Udveg","start":"14:53","end":"16:11","startHours":14.89122394110833,"endHours":16.190911891016402,"quality":"inauspicious"},{"name":"Chala","start":"16:11","end":"17:29","startHours":16.190911891016402,"endHours":17.49059984092447,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:29","end":"19:11","startHours":17.49059984092447,"endHours":19.1909118910164,"quality":"inauspicious"},{"name":"Udveg","start":"19:11","end":"20:53","startHours":19.1909118910164,"endHours":20.89122394110833,"quality":"inauspicious"},{"name":"Chala","start":"20:53","end":"22:35","startHours":20.89122394110833,"endHours":22.59153599120026,"quality":"neutral"},{"name":"Labha","start":"22:35","end":"00:18","startHours":22.59153599120026,"endHours":24.291848041292187,"quality":"auspicious"},{"name":"Amṛta","start":"00:18","end":"02:00","startHours":24.291848041292187,"endHours":25.992160091384115,"quality":"auspicious"},{"name":"Kāla","start":"02:00","end":"03:42","startHours":25.992160091384115,"endHours":27.692472141476046,"quality":"inauspicious"},{"name":"Śubha","start":"03:42","end":"05:24","startHours":27.692472141476046,"endHours":29.392784191567976,"quality":"auspicious"},{"name":"Roga","start":"05:24","end":"07:06","startHours":29.392784191567976,"endHours":31.093096241659904,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.093096241659905,"endHours":8.093096241659904,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.093096241659904,"endHours":9.093096241659904,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.093096241659904,"endHours":10.093096241659904,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.093096241659904,"endHours":11.093096241659904,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.093096241659904,"endHours":12.093096241659904,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.093096241659904,"endHours":13.093096241659904,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.093096241659904,"endHours":14.093096241659904,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.093096241659904,"endHours":15.093096241659904,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.093096241659904,"endHours":16.093096241659904,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.093096241659904,"endHours":17.093096241659904,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.093096241659904,"endHours":18.093096241659904,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.093096241659904,"endHours":19.093096241659904,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.093096241659904,"endHours":20.093096241659904,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.093096241659904,"endHours":21.093096241659904,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.093096241659904,"endHours":22.093096241659904,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.093096241659904,"endHours":23.093096241659904,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.093096241659904,"endHours":24.093096241659904,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.093096241659904,"endHours":25.093096241659904,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.093096241659904,"endHours":26.093096241659904,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.093096241659904,"endHours":27.093096241659904,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.093096241659904,"endHours":28.093096241659904,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.093096241659904,"endHours":29.093096241659904,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.093096241659904,"endHours":30.093096241659904,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.093096241659904,"endHours":31.093096241659904,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.41936097386883,"eotMinutes":1.851917522468745,"ayanamsa":25.6266}},"calendars":{"vikram_samvat":2183,"vikram_samvatsara":"Vikāri","saka_samvat":2048,"saka_samvatsara":"Vyaya","bengali_samvat":1533,"malayalam_era":1302,"nanakshahi_year":657,"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 Ṣaṣṭhī · Vikram 2183 Vikāri · Śaka 2048 Vyaya"},"festivals":[{"id":"skanda-shashthi","name":"Skanda Ṣaṣṭhī","name_sanskrit":"स्कन्द षष्ठी","tradition":"Shaiva","associated_deity":"Kārttikeya / Skanda / Murugan","significance":"Kārttikeya's victory over Tāraka. Important Shaiva day in Tamil tradition.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 20, 2126 CE · Vṛndāvana · Vidhyamitra","description":"December 20, 2126 CE for Vṛndāvana: Śukla Ṣaṣṭhī, sūryodaya 07:06, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2126-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2126-12-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2126-12-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2126-12-20","x-default":"https://vidhyamitra.com/city/vrindavan/2126-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T02:15:38.089Z","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":"2026-06-02T02:15:38.089Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T02:15:38.089Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}