{"id":"vidhyamitra:city-day:badrinath:2024-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2024-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2024-12-20","date_display":"December 20, 2024 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":2024,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460664.770833,"kali_year":5126,"ahargana":1872199.2708,"sun":{"sidereal_longitude":244.0397,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":122.2543,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":238.2146,"elapsed_within_tithi_degrees":10.2146},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":122.2543,"elapsed_within_degrees":2.2543},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":6.294},"karana":{"half_tithi_index":39,"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":2024,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2460664.770833,"ahargana":1872199.2708,"kali_year":5126,"ayanamsa_lahiri":24.2018,"grahas":{"sun":{"sidereal_longitude":244.43966799999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":122.44066800000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":2.8678},"mars":{"sidereal_longitude":100.440968,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":223.01536799999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":50.393467999999984,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":290.03126799999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":319.61686799999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":341.873,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":161.873,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":"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":2024,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2460664.770833,"kali_year":5126,"ahargana":1872199.2708,"sun":{"sidereal_longitude":244.0397,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":122.2543,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":238.2146,"elapsed_within_tithi_degrees":10.2146},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":122.2543,"elapsed_within_degrees":2.2543},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":6.294},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.868,"elongation":121.785},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.868,"opposition_distance":58.215}},"eclipse_window_40days":[]},"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"tier2":{"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"sunriseLocal":"07:06","sunsetLocal":"17:15","solarNoonLocal":"12:10","dayLengthHours":10.15387034003605,"dayLengthDisplay":"10 Hours 09 Mins 14 Secs","nightLengthDisplay":"13 Hours 50 Mins 46 Secs","moonriseLocal":"21:29","moonsetLocal":"10:36","rahuKala":{"name":"Rāhu Kāla","start":"10:54","end":"12:10","startHours":10.900314248787684,"endHours":12.169548041292188,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:42","end":"15:59","startHours":14.7080156263012,"endHours":15.977249418805709,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:22","end":"09:38","startHours":8.361846663778671,"endHours":9.631080456283176,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:48","startHours":9.461849283949242,"endHours":9.800311628617111,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:31","end":"07:47","startHours":7.515690802108999,"endHours":7.786460677843293,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:30","startHours":11.831085696624319,"endHours":12.508010385960057,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:25","startHours":5.738763492602691,"endHours":6.415688181938427,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:06","startHours":6.246457009604493,"endHours":7.092612871274164,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:52","end":"14:32","startHours":13.86185976463153,"endHours":14.538784453967267,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:03","end":"17:27","startHours":17.046483211310214,"endHours":17.446483211310213,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:15","end":"17:40","startHours":17.246483211310213,"endHours":17.66956114214505,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:00","end":"18:45","startHours":16.996483211310213,"endHours":18.746483211310213,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:30","startHours":23.83108569662432,"endHours":24.508010385960056,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:06","end":"08:22","startHours":7.092612871274164,"endHours":8.361846663778671,"quality":"neutral"},{"name":"Labha","start":"08:22","end":"09:38","startHours":8.361846663778671,"endHours":9.631080456283176,"quality":"auspicious"},{"name":"Amṛta","start":"09:38","end":"10:54","startHours":9.631080456283176,"endHours":10.900314248787684,"quality":"auspicious"},{"name":"Kāla","start":"10:54","end":"12:10","startHours":10.900314248787684,"endHours":12.169548041292188,"quality":"inauspicious"},{"name":"Śubha","start":"12:10","end":"13:26","startHours":12.169548041292188,"endHours":13.438781833796696,"quality":"auspicious"},{"name":"Roga","start":"13:26","end":"14:42","startHours":13.438781833796696,"endHours":14.7080156263012,"quality":"inauspicious"},{"name":"Udveg","start":"14:42","end":"15:59","startHours":14.7080156263012,"endHours":15.977249418805709,"quality":"inauspicious"},{"name":"Chala","start":"15:59","end":"17:15","startHours":15.977249418805709,"endHours":17.246483211310213,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:15","end":"18:59","startHours":17.246483211310213,"endHours":18.977249418805705,"quality":"inauspicious"},{"name":"Udveg","start":"18:59","end":"20:42","startHours":18.977249418805705,"endHours":20.7080156263012,"quality":"inauspicious"},{"name":"Chala","start":"20:42","end":"22:26","startHours":20.7080156263012,"endHours":22.438781833796696,"quality":"neutral"},{"name":"Labha","start":"22:26","end":"00:10","startHours":22.438781833796696,"endHours":24.169548041292188,"quality":"auspicious"},{"name":"Amṛta","start":"00:10","end":"01:54","startHours":24.169548041292188,"endHours":25.90031424878768,"quality":"auspicious"},{"name":"Kāla","start":"01:54","end":"03:38","startHours":25.90031424878768,"endHours":27.631080456283176,"quality":"inauspicious"},{"name":"Śubha","start":"03:38","end":"05:22","startHours":27.631080456283176,"endHours":29.36184666377867,"quality":"auspicious"},{"name":"Roga","start":"05:22","end":"07:06","startHours":29.36184666377867,"endHours":31.092612871274163,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.092612871274164,"endHours":8.092612871274163,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.092612871274163,"endHours":9.092612871274163,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.092612871274163,"endHours":10.092612871274163,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.092612871274163,"endHours":11.092612871274163,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.092612871274163,"endHours":12.092612871274163,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.092612871274163,"endHours":13.092612871274163,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.092612871274163,"endHours":14.092612871274163,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.092612871274163,"endHours":15.092612871274163,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.092612871274163,"endHours":16.092612871274163,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.092612871274163,"endHours":17.092612871274163,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.092612871274163,"endHours":18.092612871274163,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.092612871274163,"endHours":19.092612871274163,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.092612871274163,"endHours":20.092612871274163,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.092612871274163,"endHours":21.092612871274163,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.092612871274163,"endHours":22.092612871274163,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.092612871274163,"endHours":23.092612871274163,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.092612871274163,"endHours":24.092612871274163,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.092612871274163,"endHours":25.092612871274163,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.092612871274163,"endHours":26.092612871274163,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.092612871274163,"endHours":27.092612871274163,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.092612871274163,"endHours":28.092612871274163,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.092612871274163,"endHours":29.092612871274163,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.092612871274163,"endHours":30.092612871274163,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.092612871274163,"endHours":31.092612871274163,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"South-East","anandadiYoga":{"name":"Kāladaṇḍa","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":-23.429518647199487,"eotMinutes":1.851917522468745,"ayanamsa":24.2018}},"calendars":{"vikram_samvat":2081,"vikram_samvatsara":"Piṅgala","saka_samvat":1946,"saka_samvatsara":"Krodhi","bengali_samvat":1431,"malayalam_era":1200,"nanakshahi_year":555,"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 Pañcamī · Vikram 2081 Piṅgala · Śaka 1946 Krodhi"},"festivals":[],"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":"badrinath"},"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, 2024 CE · Badarīnāth · Vidhyamitra","description":"December 20, 2024 CE for Badarīnāth: Kṛṣṇa Pañcamī, sūryodaya 07:06, sūryāsta 17:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2024-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2024-12-20","sa":"https://sa.vidhyamitra.com/city/badrinath/2024-12-20","hi":"https://hi.vidhyamitra.com/city/badrinath/2024-12-20","x-default":"https://vidhyamitra.com/city/badrinath/2024-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T15:04:57.780Z","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":"2026-09-11T15:04:57.780Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T15:04:57.780Z","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"}}}