{"id":"vidhyamitra:city-day:ranchi:2011-01-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2011-01-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2011-01-07","date_display":"January 7, 2011 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":2011,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455568.770833,"kali_year":5112,"ahargana":1867103.2708,"sun":{"sidereal_longitude":262.153,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":295.3745,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":33.2215,"elapsed_within_tithi_degrees":9.2215},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":295.3745,"elapsed_within_degrees":2.0411},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.5274},"karana":{"half_tithi_index":5,"name":"Gara"},"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":2011,"month":1,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455568.770833,"ahargana":1867103.2708,"kali_year":5112,"ayanamsa_lahiri":24.0069,"grahas":{"sun":{"sidereal_longitude":262.36287300000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":292.827773,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":3.0954},"mars":{"sidereal_longitude":268.910073,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":239.062273,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":333.451873,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":215.29307300000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":172.63897299999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":251.8836,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":71.8836,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":"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":2011,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455568.770833,"kali_year":5112,"ahargana":1867103.2708,"sun":{"sidereal_longitude":262.153,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":295.3745,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":33.2215,"elapsed_within_tithi_degrees":9.2215},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":295.3745,"elapsed_within_degrees":2.0411},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.5274},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.095,"elongation":33.221},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.095,"opposition_distance":146.779}},"eclipse_window_40days":[{"offset_days":-3,"type":"solar","occurs":true,"moon_latitude":0.37,"elongation":2.307}]},"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"sunriseLocal":"06:32","sunsetLocal":"17:18","solarNoonLocal":"11:55","dayLengthHours":10.764297410499324,"dayLengthDisplay":"10 Hours 45 Mins 51 Secs","nightLengthDisplay":"13 Hours 14 Mins 09 Secs","moonriseLocal":"08:22","moonsetLocal":"19:32","rahuKala":{"name":"Rāhu Kāla","start":"10:34","end":"11:55","startHours":10.572024062144578,"endHours":11.917561238456994,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:37","end":"15:57","startHours":14.608635591081825,"endHours":15.95417276739424,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:53","end":"09:14","startHours":7.880949709519748,"endHours":9.226486885832163,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:03","end":"09:24","startHours":9.047081928990508,"endHours":9.40589184267382,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:16","startHours":6.983924925311471,"endHours":7.27097285625812,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:34","end":"12:17","startHours":11.558751324773683,"endHours":12.276371152140305,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.100172878474089,"endHours":5.817792705840711,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:32","startHours":5.6383877489990555,"endHours":6.5354125332073325,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:43","end":"14:26","startHours":13.711610806873548,"endHours":14.42923063424017,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.099709943706657,"endHours":17.499709943706655,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:45","startHours":17.299709943706656,"endHours":17.748222335810794,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.049709943706656,"endHours":18.799709943706656,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:34","end":"00:17","startHours":23.558751324773684,"endHours":24.276371152140303,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:32","end":"07:53","startHours":6.5354125332073325,"endHours":7.880949709519748,"quality":"neutral"},{"name":"Labha","start":"07:53","end":"09:14","startHours":7.880949709519748,"endHours":9.226486885832163,"quality":"auspicious"},{"name":"Amṛta","start":"09:14","end":"10:34","startHours":9.226486885832163,"endHours":10.572024062144578,"quality":"auspicious"},{"name":"Kāla","start":"10:34","end":"11:55","startHours":10.572024062144578,"endHours":11.917561238456994,"quality":"inauspicious"},{"name":"Śubha","start":"11:55","end":"13:16","startHours":11.917561238456994,"endHours":13.26309841476941,"quality":"auspicious"},{"name":"Roga","start":"13:16","end":"14:37","startHours":13.26309841476941,"endHours":14.608635591081825,"quality":"inauspicious"},{"name":"Udveg","start":"14:37","end":"15:57","startHours":14.608635591081825,"endHours":15.95417276739424,"quality":"inauspicious"},{"name":"Chala","start":"15:57","end":"17:18","startHours":15.95417276739424,"endHours":17.299709943706656,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:18","end":"18:57","startHours":17.299709943706656,"endHours":18.95417276739424,"quality":"inauspicious"},{"name":"Udveg","start":"18:57","end":"20:37","startHours":18.95417276739424,"endHours":20.608635591081825,"quality":"inauspicious"},{"name":"Chala","start":"20:37","end":"22:16","startHours":20.608635591081825,"endHours":22.26309841476941,"quality":"neutral"},{"name":"Labha","start":"22:16","end":"23:55","startHours":22.26309841476941,"endHours":23.917561238456994,"quality":"auspicious"},{"name":"Amṛta","start":"23:55","end":"01:34","startHours":23.917561238456994,"endHours":25.57202406214458,"quality":"auspicious"},{"name":"Kāla","start":"01:34","end":"03:14","startHours":25.57202406214458,"endHours":27.226486885832163,"quality":"inauspicious"},{"name":"Śubha","start":"03:14","end":"04:53","startHours":27.226486885832163,"endHours":28.880949709519747,"quality":"auspicious"},{"name":"Roga","start":"04:53","end":"06:32","startHours":28.880949709519747,"endHours":30.53541253320733,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.5354125332073325,"endHours":7.5354125332073325,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.5354125332073325,"endHours":8.535412533207332,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.535412533207332,"endHours":9.535412533207332,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.535412533207332,"endHours":10.535412533207332,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.535412533207332,"endHours":11.535412533207332,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.535412533207332,"endHours":12.535412533207332,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.535412533207332,"endHours":13.535412533207332,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.535412533207332,"endHours":14.535412533207332,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.535412533207332,"endHours":15.535412533207332,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.535412533207332,"endHours":16.53541253320733,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.53541253320733,"endHours":17.53541253320733,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.53541253320733,"endHours":18.53541253320733,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.53541253320733,"endHours":19.53541253320733,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.53541253320733,"endHours":20.53541253320733,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.53541253320733,"endHours":21.53541253320733,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.53541253320733,"endHours":22.53541253320733,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.53541253320733,"endHours":23.53541253320733,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.53541253320733,"endHours":24.53541253320733,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.53541253320733,"endHours":25.53541253320733,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.53541253320733,"endHours":26.53541253320733,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.53541253320733,"endHours":27.53541253320733,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.53541253320733,"endHours":28.53541253320733,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.53541253320733,"endHours":29.53541253320733,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.53541253320733,"endHours":30.53541253320733,"planetary_lord":"Mars"}],"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","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-22.433414366104028,"eotMinutes":-6.292074307419696,"ayanamsa":24.0069}},"calendars":{"vikram_samvat":2068,"vikram_samvatsara":"Krodhi","saka_samvat":1933,"saka_samvatsara":"Khara","bengali_samvat":1418,"malayalam_era":1187,"nanakshahi_year":542,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Tṛtīyā · Vikram 2068 Krodhi · Śaka 1933 Khara"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"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":"ranchi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 7, 2011 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 7, 2011 CE for Ranchi, Jharkhand: Śukla Tṛtīyā, sūryodaya 06:32, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2011-01-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2011-01-07","sa":"https://sa.vidhyamitra.com/city/ranchi/2011-01-07","hi":"https://hi.vidhyamitra.com/city/ranchi/2011-01-07","x-default":"https://vidhyamitra.com/city/ranchi/2011-01-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T01:42:04.379Z","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":"2026-05-16T01:42:04.379Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T01:42:04.379Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}