{"id":"vidhyamitra:city-day:ranchi:2115-01-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2115-01-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-01-15","date_display":"January 15, 2115 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":2115,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493561.770833,"kali_year":5216,"ahargana":1905096.2708,"sun":{"sidereal_longitude":268.4107,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":144.5635,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.1528,"elapsed_within_tithi_degrees":8.1528},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":144.5635,"elapsed_within_degrees":11.2301},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":52.9741},"karana":{"half_tithi_index":39,"name":"Taitila"},"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":2115,"month":1,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493561.770833,"ahargana":1905096.2708,"kali_year":5216,"ayanamsa_lahiri":25.46,"grahas":{"sun":{"sidereal_longitude":268.810961,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":146.96966099999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false,"latitude":4.3311},"mars":{"sidereal_longitude":357.815361,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":255.77496099999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":256.61286100000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":223.58606099999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":339.791361,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":38.8316,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":218.8316,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2115,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493561.770833,"kali_year":5216,"ahargana":1905096.2708,"sun":{"sidereal_longitude":268.4107,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":144.5635,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.1528,"elapsed_within_tithi_degrees":8.1528},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":144.5635,"elapsed_within_degrees":11.2301},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":52.9741},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.331,"elongation":123.847},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.331,"opposition_distance":56.153}},"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":"06:33","sunsetLocal":"17:23","solarNoonLocal":"11:58","dayLengthHours":10.84266015945121,"dayLengthDisplay":"10 Hours 50 Mins 34 Secs","nightLengthDisplay":"13 Hours 09 Mins 26 Secs","moonriseLocal":"21:43","moonsetLocal":"09:58","rahuKala":{"name":"Rāhu Kāla","start":"14:41","end":"16:02","startHours":14.679190863965022,"endHours":16.034523383896424,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:15","end":"10:37","startHours":9.25786078423942,"endHours":10.61319330417082,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:58","end":"13:19","startHours":11.968525824102223,"endHours":13.323858344033624,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:26","startHours":9.077149781581898,"endHours":9.43857178689694,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.998973251020417,"endHours":7.28811085527245,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:20","startHours":11.60710381878718,"endHours":12.32994782941726,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.101507723116455,"endHours":5.824351733746536,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:39","end":"06:33","startHours":5.6436407310890155,"endHours":6.547195744376617,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:47","end":"14:30","startHours":13.775635850677423,"endHours":14.498479861307503,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:11","end":"17:35","startHours":17.189855903827826,"endHours":17.589855903827825,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:23","end":"17:50","startHours":17.389855903827826,"endHours":17.841633410471626,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:08","end":"18:53","startHours":17.139855903827826,"endHours":18.889855903827826,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:20","startHours":23.60710381878718,"endHours":24.329947829417264,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:33","end":"07:54","startHours":6.547195744376617,"endHours":7.9025282643080175,"quality":"inauspicious"},{"name":"Udveg","start":"07:54","end":"09:15","startHours":7.9025282643080175,"endHours":9.25786078423942,"quality":"inauspicious"},{"name":"Chala","start":"09:15","end":"10:37","startHours":9.25786078423942,"endHours":10.61319330417082,"quality":"neutral"},{"name":"Labha","start":"10:37","end":"11:58","startHours":10.61319330417082,"endHours":11.968525824102223,"quality":"auspicious"},{"name":"Amṛta","start":"11:58","end":"13:19","startHours":11.968525824102223,"endHours":13.323858344033624,"quality":"auspicious"},{"name":"Kāla","start":"13:19","end":"14:41","startHours":13.323858344033624,"endHours":14.679190863965022,"quality":"inauspicious"},{"name":"Śubha","start":"14:41","end":"16:02","startHours":14.679190863965022,"endHours":16.034523383896424,"quality":"auspicious"},{"name":"Roga","start":"16:02","end":"17:23","startHours":16.034523383896424,"endHours":17.389855903827826,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:23","end":"19:02","startHours":17.389855903827826,"endHours":19.034523383896424,"quality":"inauspicious"},{"name":"Śubha","start":"19:02","end":"20:41","startHours":19.034523383896424,"endHours":20.679190863965022,"quality":"auspicious"},{"name":"Roga","start":"20:41","end":"22:19","startHours":20.679190863965022,"endHours":22.323858344033624,"quality":"inauspicious"},{"name":"Udveg","start":"22:19","end":"23:58","startHours":22.323858344033624,"endHours":23.968525824102223,"quality":"inauspicious"},{"name":"Chala","start":"23:58","end":"01:37","startHours":23.968525824102223,"endHours":25.61319330417082,"quality":"neutral"},{"name":"Labha","start":"01:37","end":"03:15","startHours":25.61319330417082,"endHours":27.25786078423942,"quality":"auspicious"},{"name":"Amṛta","start":"03:15","end":"04:54","startHours":27.25786078423942,"endHours":28.902528264308017,"quality":"auspicious"},{"name":"Kāla","start":"04:54","end":"06:33","startHours":28.902528264308017,"endHours":30.547195744376616,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:33","end":"07:33","startHours":6.547195744376617,"endHours":7.547195744376617,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:33","end":"08:33","startHours":7.547195744376617,"endHours":8.547195744376616,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:33","end":"09:33","startHours":8.547195744376616,"endHours":9.547195744376616,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:33","end":"10:33","startHours":9.547195744376616,"endHours":10.547195744376616,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:33","end":"11:33","startHours":10.547195744376616,"endHours":11.547195744376616,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:33","end":"12:33","startHours":11.547195744376616,"endHours":12.547195744376616,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:33","end":"13:33","startHours":12.547195744376616,"endHours":13.547195744376616,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:33","end":"14:33","startHours":13.547195744376616,"endHours":14.547195744376616,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:33","end":"15:33","startHours":14.547195744376616,"endHours":15.547195744376616,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:33","end":"16:33","startHours":15.547195744376616,"endHours":16.547195744376616,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:33","end":"17:33","startHours":16.547195744376616,"endHours":17.547195744376616,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:33","end":"18:33","startHours":17.547195744376616,"endHours":18.547195744376616,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:33","end":"19:33","startHours":18.547195744376616,"endHours":19.547195744376616,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:33","end":"20:33","startHours":19.547195744376616,"endHours":20.547195744376616,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:33","end":"21:33","startHours":20.547195744376616,"endHours":21.547195744376616,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:33","end":"22:33","startHours":21.547195744376616,"endHours":22.547195744376616,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:33","end":"23:33","startHours":22.547195744376616,"endHours":23.547195744376616,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:33","end":"00:33","startHours":23.547195744376616,"endHours":24.547195744376616,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:33","end":"01:33","startHours":24.547195744376616,"endHours":25.547195744376616,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:33","end":"02:33","startHours":25.547195744376616,"endHours":26.547195744376616,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:33","end":"03:33","startHours":26.547195744376616,"endHours":27.547195744376616,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:33","end":"04:33","startHours":27.547195744376616,"endHours":28.547195744376616,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:33","end":"05:33","startHours":28.547195744376616,"endHours":29.547195744376616,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:33","end":"06:33","startHours":29.547195744376616,"endHours":30.547195744376616,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","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":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Siddhi","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":-21.258578379216736,"eotMinutes":-9.349949446133257,"ayanamsa":25.46}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"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 Pañcamī · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi_eve_of_ingress":"Makara"},"precedence":4}],"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":"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 15, 2115 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 15, 2115 CE for Ranchi, Jharkhand: Kṛṣṇa Pañcamī, sūryodaya 06:33, sūryāsta 17:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2115-01-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2115-01-15","sa":"https://sa.vidhyamitra.com/city/ranchi/2115-01-15","hi":"https://hi.vidhyamitra.com/city/ranchi/2115-01-15","x-default":"https://vidhyamitra.com/city/ranchi/2115-01-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T02:06:49.573Z","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":"2026-05-31T02:06:49.573Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T02:06:49.573Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}