{"id":"vidhyamitra:city-day:ranchi:2121-01-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2121-01-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-01-11","date_display":"January 11, 2121 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":2121,"month":1,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495749.770833,"kali_year":5222,"ahargana":1907284.2708,"sun":{"sidereal_longitude":264.7604,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":167.1567,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":262.3962,"elapsed_within_tithi_degrees":10.3962},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":167.1567,"elapsed_within_degrees":7.1567},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":71.9171},"karana":{"half_tithi_index":43,"name":"Bava"},"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":2121,"month":1,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495749.770833,"ahargana":1907284.2708,"kali_year":5222,"ayanamsa_lahiri":25.5437,"grahas":{"sun":{"sidereal_longitude":265.20576300000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":163.89196300000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":-4.0526},"mars":{"sidereal_longitude":122.45996300000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":278.38496299999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":88.09356300000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"venus":{"sidereal_longitude":306.82756300000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":62.20536299999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":282.9008,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":102.9008,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"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":2121,"month":1,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495749.770833,"kali_year":5222,"ahargana":1907284.2708,"sun":{"sidereal_longitude":264.7604,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":167.1567,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":262.3962,"elapsed_within_tithi_degrees":10.3962},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":167.1567,"elapsed_within_degrees":7.1567},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":71.9171},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.053,"elongation":97.604},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.053,"opposition_distance":82.396}},"eclipse_window_40days":[{"offset_days":8,"type":"solar","occurs":true,"moon_latitude":-0.923,"elongation":2.346}]},"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":"06:33","sunsetLocal":"17:21","solarNoonLocal":"11:57","dayLengthHours":10.804382119010588,"dayLengthDisplay":"10 Hours 48 Mins 16 Secs","nightLengthDisplay":"13 Hours 11 Mins 44 Secs","moonriseLocal":"23:15","moonsetLocal":"11:07","rahuKala":{"name":"Rāhu Kāla","start":"09:15","end":"10:36","startHours":9.243039507496796,"endHours":10.593587272373119,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:18","end":"14:39","startHours":13.294682802125767,"endHours":14.64523056700209,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:33","end":"07:54","startHours":6.541943977744149,"endHours":7.892491742620472,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:25","startHours":9.062966472179951,"endHours":9.423112542813639,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.992126566036257,"endHours":7.280243422543206,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:35","end":"12:18","startHours":11.583988966615756,"endHours":12.304281107883128,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.101359695209403,"endHours":5.821651836476776,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:33","startHours":5.641578801159933,"endHours":6.541943977744149,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:45","end":"14:28","startHours":13.744865390417875,"endHours":14.465157531685247,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.146326096754738,"endHours":17.546326096754736,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:48","startHours":17.346326096754737,"endHours":17.796508685046845,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.096326096754737,"endHours":18.846326096754737,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:35","end":"00:18","startHours":23.583988966615756,"endHours":24.304281107883128,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:33","end":"07:54","startHours":6.541943977744149,"endHours":7.892491742620472,"quality":"inauspicious"},{"name":"Śubha","start":"07:54","end":"09:15","startHours":7.892491742620472,"endHours":9.243039507496796,"quality":"auspicious"},{"name":"Roga","start":"09:15","end":"10:36","startHours":9.243039507496796,"endHours":10.593587272373119,"quality":"inauspicious"},{"name":"Udveg","start":"10:36","end":"11:57","startHours":10.593587272373119,"endHours":11.944135037249442,"quality":"inauspicious"},{"name":"Chala","start":"11:57","end":"13:18","startHours":11.944135037249442,"endHours":13.294682802125767,"quality":"neutral"},{"name":"Labha","start":"13:18","end":"14:39","startHours":13.294682802125767,"endHours":14.64523056700209,"quality":"auspicious"},{"name":"Amṛta","start":"14:39","end":"16:00","startHours":14.64523056700209,"endHours":15.995778331878414,"quality":"auspicious"},{"name":"Kāla","start":"16:00","end":"17:21","startHours":15.995778331878414,"endHours":17.346326096754737,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:21","end":"19:00","startHours":17.346326096754737,"endHours":18.995778331878412,"quality":"auspicious"},{"name":"Amṛta","start":"19:00","end":"20:39","startHours":18.995778331878412,"endHours":20.64523056700209,"quality":"auspicious"},{"name":"Kāla","start":"20:39","end":"22:18","startHours":20.64523056700209,"endHours":22.294682802125767,"quality":"inauspicious"},{"name":"Śubha","start":"22:18","end":"23:57","startHours":22.294682802125767,"endHours":23.944135037249442,"quality":"auspicious"},{"name":"Roga","start":"23:57","end":"01:36","startHours":23.944135037249442,"endHours":25.59358727237312,"quality":"inauspicious"},{"name":"Udveg","start":"01:36","end":"03:15","startHours":25.59358727237312,"endHours":27.243039507496796,"quality":"inauspicious"},{"name":"Chala","start":"03:15","end":"04:54","startHours":27.243039507496796,"endHours":28.89249174262047,"quality":"neutral"},{"name":"Labha","start":"04:54","end":"06:33","startHours":28.89249174262047,"endHours":30.541943977744147,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:33","end":"07:33","startHours":6.541943977744149,"endHours":7.541943977744149,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:33","end":"08:33","startHours":7.541943977744149,"endHours":8.541943977744149,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:33","end":"09:33","startHours":8.541943977744149,"endHours":9.541943977744149,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:33","end":"10:33","startHours":9.541943977744149,"endHours":10.541943977744149,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:33","end":"11:33","startHours":10.541943977744149,"endHours":11.541943977744149,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:33","end":"12:33","startHours":11.541943977744149,"endHours":12.541943977744149,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:33","end":"13:33","startHours":12.541943977744149,"endHours":13.541943977744149,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:33","end":"14:33","startHours":13.541943977744149,"endHours":14.541943977744149,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:33","end":"15:33","startHours":14.541943977744149,"endHours":15.541943977744149,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:33","end":"16:33","startHours":15.541943977744149,"endHours":16.541943977744147,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:33","end":"17:33","startHours":16.541943977744147,"endHours":17.541943977744147,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:33","end":"18:33","startHours":17.541943977744147,"endHours":18.541943977744147,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:33","end":"19:33","startHours":18.541943977744147,"endHours":19.541943977744147,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:33","end":"20:33","startHours":19.541943977744147,"endHours":20.541943977744147,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:33","end":"21:33","startHours":20.541943977744147,"endHours":21.541943977744147,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:33","end":"22:33","startHours":21.541943977744147,"endHours":22.541943977744147,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:33","end":"23:33","startHours":22.541943977744147,"endHours":23.541943977744147,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:33","end":"00:33","startHours":23.541943977744147,"endHours":24.541943977744147,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:33","end":"01:33","startHours":24.541943977744147,"endHours":25.541943977744147,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:33","end":"02:33","startHours":25.541943977744147,"endHours":26.541943977744147,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:33","end":"03:33","startHours":26.541943977744147,"endHours":27.541943977744147,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:33","end":"04:33","startHours":27.541943977744147,"endHours":28.541943977744147,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:33","end":"05:33","startHours":28.541943977744147,"endHours":29.541943977744147,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:33","end":"06:33","startHours":29.541943977744147,"endHours":30.541943977744147,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Vajra","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":-21.835000198132462,"eotMinutes":-7.886502234966622,"ayanamsa":25.5437}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"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":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Saptamī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"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":"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 11, 2121 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 11, 2121 CE for Ranchi, Jharkhand: Kṛṣṇa Saptamī, sūryodaya 06:33, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2121-01-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2121-01-11","sa":"https://sa.vidhyamitra.com/city/ranchi/2121-01-11","hi":"https://hi.vidhyamitra.com/city/ranchi/2121-01-11","x-default":"https://vidhyamitra.com/city/ranchi/2121-01-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T18:14:19.492Z","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":"2026-06-02T18:14:19.492Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T18:14:19.492Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}