{"id":"vidhyamitra:city-day:ranchi:2101-01-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2101-01-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-01-06","date_display":"January 6, 2101 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":2101,"month":1,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488439.770833,"kali_year":5202,"ahargana":1899974.2708,"sun":{"sidereal_longitude":259.8008,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":334.4903,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":74.6895,"elapsed_within_tithi_degrees":2.6895},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":334.4903,"elapsed_within_degrees":1.157},"yoga":{"number":18,"name":"Varīyān","sum_longitude":234.2911},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2101,"month":1,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488439.770833,"ahargana":1899974.2708,"kali_year":5202,"ayanamsa_lahiri":25.2641,"grahas":{"sun":{"sidereal_longitude":260.242259,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":335.996259,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false,"latitude":1.8481},"mars":{"sidereal_longitude":230.92045899999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":278.145659,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":201.58585900000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":245.48965900000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":190.753559,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":310.2198,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":130.2198,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2101,"month":1,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488439.770833,"kali_year":5202,"ahargana":1899974.2708,"sun":{"sidereal_longitude":259.8008,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":334.4903,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":74.6895,"elapsed_within_tithi_degrees":2.6895},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":334.4903,"elapsed_within_degrees":1.157},"yoga":{"number":18,"name":"Varīyān","sum_longitude":234.2911},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.848,"elongation":74.69},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.848,"opposition_distance":105.31}},"eclipse_window_40days":[]},"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":"17:17","solarNoonLocal":"11:55","dayLengthHours":10.757424927072044,"dayLengthDisplay":"10 Hours 45 Mins 27 Secs","nightLengthDisplay":"13 Hours 14 Mins 33 Secs","moonriseLocal":"10:54","moonsetLocal":"23:01","rahuKala":{"name":"Rāhu Kāla","start":"13:15","end":"14:36","startHours":13.2552984676669,"endHours":14.599976583550905,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:32","end":"07:53","startHours":6.531907888246873,"endHours":7.876586004130878,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:13","end":"10:34","startHours":9.221264120014883,"endHours":10.56594223589889,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:03","end":"09:24","startHours":9.041973704563684,"endHours":9.400554535466085,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:16","startHours":6.980133926874875,"endHours":7.2669985915967965,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:33","end":"12:16","startHours":11.552039520880495,"endHours":12.269201182685297,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.097584564637267,"endHours":5.81474622644207,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:32","startHours":5.6354558109908695,"endHours":6.531907888246873,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:42","end":"14:25","startHours":13.703524506294903,"endHours":14.420686168099706,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:05","end":"17:29","startHours":17.08933281531892,"endHours":17.489332815318917,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:17","end":"17:44","startHours":17.289332815318918,"endHours":17.73755885394692,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:02","end":"18:47","startHours":17.039332815318918,"endHours":18.789332815318918,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:33","end":"00:16","startHours":23.552039520880495,"endHours":24.269201182685297,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:32","end":"07:53","startHours":6.531907888246873,"endHours":7.876586004130878,"quality":"auspicious"},{"name":"Roga","start":"07:53","end":"09:13","startHours":7.876586004130878,"endHours":9.221264120014883,"quality":"inauspicious"},{"name":"Udveg","start":"09:13","end":"10:34","startHours":9.221264120014883,"endHours":10.56594223589889,"quality":"inauspicious"},{"name":"Chala","start":"10:34","end":"11:55","startHours":10.56594223589889,"endHours":11.910620351782896,"quality":"neutral"},{"name":"Labha","start":"11:55","end":"13:15","startHours":11.910620351782896,"endHours":13.2552984676669,"quality":"auspicious"},{"name":"Amṛta","start":"13:15","end":"14:36","startHours":13.2552984676669,"endHours":14.599976583550905,"quality":"auspicious"},{"name":"Kāla","start":"14:36","end":"15:57","startHours":14.599976583550905,"endHours":15.944654699434913,"quality":"inauspicious"},{"name":"Śubha","start":"15:57","end":"17:17","startHours":15.944654699434913,"endHours":17.289332815318918,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:17","end":"18:57","startHours":17.289332815318918,"endHours":18.944654699434913,"quality":"auspicious"},{"name":"Kāla","start":"18:57","end":"20:36","startHours":18.944654699434913,"endHours":20.599976583550905,"quality":"inauspicious"},{"name":"Śubha","start":"20:36","end":"22:15","startHours":20.599976583550905,"endHours":22.2552984676669,"quality":"auspicious"},{"name":"Roga","start":"22:15","end":"23:55","startHours":22.2552984676669,"endHours":23.910620351782896,"quality":"inauspicious"},{"name":"Udveg","start":"23:55","end":"01:34","startHours":23.910620351782896,"endHours":25.56594223589889,"quality":"inauspicious"},{"name":"Chala","start":"01:34","end":"03:13","startHours":25.56594223589889,"endHours":27.221264120014887,"quality":"neutral"},{"name":"Labha","start":"03:13","end":"04:53","startHours":27.221264120014887,"endHours":28.87658600413088,"quality":"auspicious"},{"name":"Amṛta","start":"04:53","end":"06:32","startHours":28.87658600413088,"endHours":30.531907888246874,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.531907888246873,"endHours":7.531907888246873,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.531907888246873,"endHours":8.531907888246874,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.531907888246874,"endHours":9.531907888246874,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.531907888246874,"endHours":10.531907888246874,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.531907888246874,"endHours":11.531907888246874,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.531907888246874,"endHours":12.531907888246874,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.531907888246874,"endHours":13.531907888246874,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.531907888246874,"endHours":14.531907888246874,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.531907888246874,"endHours":15.531907888246874,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.531907888246874,"endHours":16.531907888246874,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.531907888246874,"endHours":17.531907888246874,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.531907888246874,"endHours":18.531907888246874,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.531907888246874,"endHours":19.531907888246874,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.531907888246874,"endHours":20.531907888246874,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.531907888246874,"endHours":21.531907888246874,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.531907888246874,"endHours":22.531907888246874,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.531907888246874,"endHours":23.531907888246874,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.531907888246874,"endHours":24.531907888246874,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.531907888246874,"endHours":25.531907888246874,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.531907888246874,"endHours":26.531907888246874,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.531907888246874,"endHours":27.531907888246874,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.531907888246874,"endHours":28.531907888246874,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.531907888246874,"endHours":29.531907888246874,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.531907888246874,"endHours":30.531907888246874,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"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":-22.53547058030834,"eotMinutes":-5.875621106973772,"ayanamsa":25.2641}},"calendars":{"vikram_samvat":2158,"vikram_samvatsara":"Bhāva","saka_samvat":2023,"saka_samvatsara":"Durmati","bengali_samvat":1508,"malayalam_era":1277,"nanakshahi_year":632,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Saptamī · Vikram 2158 Bhāva · Śaka 2023 Durmati"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 6, 2101 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 6, 2101 CE for Ranchi, Jharkhand: Śukla Saptamī, sūryodaya 06:32, sūryāsta 17:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2101-01-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2101-01-06","sa":"https://sa.vidhyamitra.com/city/ranchi/2101-01-06","hi":"https://hi.vidhyamitra.com/city/ranchi/2101-01-06","x-default":"https://vidhyamitra.com/city/ranchi/2101-01-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T02:44:27.640Z","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":"2026-06-01T02:44:27.640Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T02:44:27.640Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}