{"id":"vidhyamitra:city-day:badrinath:2103-01-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2103-01-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2103-01-30","date_display":"January 30, 2103 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":2103,"month":1,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489193.770833,"kali_year":5204,"ahargana":1900728.2708,"sun":{"sidereal_longitude":283.9017,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":181.9257,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":258.024,"elapsed_within_tithi_degrees":6.024},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":181.9257,"elapsed_within_degrees":8.5924},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":105.8275},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2103,"month":1,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489193.770833,"ahargana":1900728.2708,"kali_year":5204,"ayanamsa_lahiri":25.2929,"grahas":{"sun":{"sidereal_longitude":284.15364999999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":178.15255000000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false,"latitude":-4.4981},"mars":{"sidereal_longitude":263.26974999999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":264.29445,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":257.25334999999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":312.05915000000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":214.23145,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":270.2693,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":90.2693,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"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":2103,"month":1,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489193.770833,"kali_year":5204,"ahargana":1900728.2708,"sun":{"sidereal_longitude":283.9017,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":181.9257,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":258.024,"elapsed_within_tithi_degrees":6.024},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":181.9257,"elapsed_within_degrees":8.5924},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":105.8275},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.498,"elongation":101.976},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.498,"opposition_distance":78.024}},"eclipse_window_40days":[{"offset_days":-7,"type":"lunar","occurs":true,"moon_latitude":-0.361,"opposition_distance":1.481}]},"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":"17:45","solarNoonLocal":"12:25","dayLengthHours":10.662526769795047,"dayLengthDisplay":"10 Hours 39 Mins 45 Secs","nightLengthDisplay":"13 Hours 20 Mins 15 Secs","moonriseLocal":"23:40","moonsetLocal":"11:02","rahuKala":{"name":"Rāhu Kāla","start":"15:05","end":"16:25","startHours":15.088664125378171,"endHours":16.42147997160255,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:45","end":"11:05","startHours":9.757400740480648,"endHours":11.09021658670503,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:25","end":"13:45","startHours":12.42303243292941,"endHours":13.755848279153792,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:35","end":"09:56","startHours":9.579691960984064,"endHours":9.935109519977232,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:49","startHours":7.536040996773346,"endHours":7.820375043967881,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:47","startHours":12.067614873936241,"endHours":12.778449991922576,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:40","end":"06:23","startHours":5.670098812059213,"endHours":6.38093393004555,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"07:06","startHours":6.203225150548966,"endHours":7.091769048031886,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"14:55","startHours":14.200120227895251,"endHours":14.910955345881588,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:33","end":"17:57","startHours":17.554295817826933,"endHours":17.95429581782693,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:45","end":"18:12","startHours":17.754295817826932,"endHours":18.19856776656839,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:30","end":"19:15","startHours":17.504295817826932,"endHours":19.254295817826932,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:47","startHours":24.067614873936243,"endHours":24.778449991922578,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:06","end":"08:25","startHours":7.091769048031886,"endHours":8.424584894256267,"quality":"inauspicious"},{"name":"Udveg","start":"08:25","end":"09:45","startHours":8.424584894256267,"endHours":9.757400740480648,"quality":"inauspicious"},{"name":"Chala","start":"09:45","end":"11:05","startHours":9.757400740480648,"endHours":11.09021658670503,"quality":"neutral"},{"name":"Labha","start":"11:05","end":"12:25","startHours":11.09021658670503,"endHours":12.42303243292941,"quality":"auspicious"},{"name":"Amṛta","start":"12:25","end":"13:45","startHours":12.42303243292941,"endHours":13.755848279153792,"quality":"auspicious"},{"name":"Kāla","start":"13:45","end":"15:05","startHours":13.755848279153792,"endHours":15.088664125378171,"quality":"inauspicious"},{"name":"Śubha","start":"15:05","end":"16:25","startHours":15.088664125378171,"endHours":16.42147997160255,"quality":"auspicious"},{"name":"Roga","start":"16:25","end":"17:45","startHours":16.42147997160255,"endHours":17.754295817826932,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:45","end":"19:25","startHours":17.754295817826932,"endHours":19.42147997160255,"quality":"inauspicious"},{"name":"Śubha","start":"19:25","end":"21:05","startHours":19.42147997160255,"endHours":21.08866412537817,"quality":"auspicious"},{"name":"Roga","start":"21:05","end":"22:45","startHours":21.08866412537817,"endHours":22.75584827915379,"quality":"inauspicious"},{"name":"Udveg","start":"22:45","end":"00:25","startHours":22.75584827915379,"endHours":24.42303243292941,"quality":"inauspicious"},{"name":"Chala","start":"00:25","end":"02:05","startHours":24.42303243292941,"endHours":26.090216586705026,"quality":"neutral"},{"name":"Labha","start":"02:05","end":"03:45","startHours":26.090216586705026,"endHours":27.757400740480648,"quality":"auspicious"},{"name":"Amṛta","start":"03:45","end":"05:25","startHours":27.757400740480648,"endHours":29.424584894256267,"quality":"auspicious"},{"name":"Kāla","start":"05:25","end":"07:06","startHours":29.424584894256267,"endHours":31.091769048031885,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.091769048031886,"endHours":8.091769048031885,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.091769048031885,"endHours":9.091769048031885,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.091769048031885,"endHours":10.091769048031885,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.091769048031885,"endHours":11.091769048031885,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.091769048031885,"endHours":12.091769048031885,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.091769048031885,"endHours":13.091769048031885,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.091769048031885,"endHours":14.091769048031885,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.091769048031885,"endHours":15.091769048031885,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.091769048031885,"endHours":16.091769048031885,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.091769048031885,"endHours":17.091769048031885,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.091769048031885,"endHours":18.091769048031885,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.091769048031885,"endHours":19.091769048031885,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.091769048031885,"endHours":20.091769048031885,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.091769048031885,"endHours":21.091769048031885,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.091769048031885,"endHours":22.091769048031885,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.091769048031885,"endHours":23.091769048031885,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.091769048031885,"endHours":24.091769048031885,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.091769048031885,"endHours":25.091769048031885,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.091769048031885,"endHours":26.091769048031885,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.091769048031885,"endHours":27.091769048031885,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.091769048031885,"endHours":28.091769048031885,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.091769048031885,"endHours":29.091769048031885,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.091769048031885,"endHours":30.091769048031885,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.091769048031885,"endHours":31.091769048031885,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-17.886718179890476,"eotMinutes":-13.357145975764517,"ayanamsa":25.2929}},"calendars":{"vikram_samvat":2160,"vikram_samvatsara":"Dhātṛ","saka_samvat":2025,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1510,"malayalam_era":1279,"nanakshahi_year":634,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Saptamī · Vikram 2160 Dhātṛ · Śaka 2025 Rudhirodgāri"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 January 30, 2103 CE · Badarīnāth · Vidhyamitra","description":"January 30, 2103 CE for Badarīnāth: Kṛṣṇa Saptamī, sūryodaya 07:06, sūryāsta 17:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2103-01-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2103-01-30","sa":"https://sa.vidhyamitra.com/city/badrinath/2103-01-30","hi":"https://hi.vidhyamitra.com/city/badrinath/2103-01-30","x-default":"https://vidhyamitra.com/city/badrinath/2103-01-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T13:37:57.646Z","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":"2026-06-01T13:37:57.646Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T13:37:57.646Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}