{"id":"vidhyamitra:city-day:ranchi:2115-12-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2115-12-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-12-28","date_display":"December 28, 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":12,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493908.770833,"kali_year":5217,"ahargana":1905443.2708,"sun":{"sidereal_longitude":249.6424,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":25.8454,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":136.203,"elapsed_within_tithi_degrees":4.203},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":25.8454,"elapsed_within_degrees":12.512},"yoga":{"number":21,"name":"Siddha","sum_longitude":275.4877},"karana":{"half_tithi_index":22,"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":2115,"month":12,"day":28,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493908.770833,"ahargana":1905443.2708,"kali_year":5217,"ayanamsa_lahiri":25.4733,"grahas":{"sun":{"sidereal_longitude":250.20820300000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"moon":{"sidereal_longitude":24.74200300000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":0.423},"mars":{"sidereal_longitude":218.18820300000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":241.82640300000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":278.347703,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":288.06950299999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":351.547303,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":20.4459,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":200.4459,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"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":12,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493908.770833,"kali_year":5217,"ahargana":1905443.2708,"sun":{"sidereal_longitude":249.6424,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":25.8454,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":136.203,"elapsed_within_tithi_degrees":4.203},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":25.8454,"elapsed_within_degrees":12.512},"yoga":{"number":21,"name":"Siddha","sum_longitude":275.4877},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.423,"elongation":136.203},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.423,"opposition_distance":43.797}},"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":"06:30","sunsetLocal":"17:12","solarNoonLocal":"11:51","dayLengthHours":10.704601751613836,"dayLengthDisplay":"10 Hours 42 Mins 17 Secs","nightLengthDisplay":"13 Hours 17 Mins 43 Secs","moonriseLocal":"14:14","moonsetLocal":"03:23","rahuKala":{"name":"Rāhu Kāla","start":"09:10","end":"10:30","startHours":9.16799463650133,"endHours":10.50606985545306,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:11","end":"14:31","startHours":13.182220293356519,"endHours":14.520295512308248,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:30","end":"07:50","startHours":6.491844198597871,"endHours":7.8299194175496005,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:21","startHours":8.989584607307766,"endHours":9.346404665694894,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:56","end":"07:13","startHours":6.937869271581781,"endHours":7.223325318291484,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:29","end":"12:12","startHours":11.487325016017662,"endHours":12.200965132791916,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:04","end":"05:47","startHours":5.064563965049359,"endHours":5.778204081823615,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:36","end":"06:30","startHours":5.599794052630052,"endHours":6.491844198597871,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:38","end":"14:21","startHours":13.62824536634043,"endHours":14.341885483114686,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:00","end":"17:24","startHours":16.996445950211708,"endHours":17.396445950211707,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:12","end":"17:39","startHours":17.196445950211707,"endHours":17.64247102319562,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:57","end":"18:42","startHours":16.946445950211707,"endHours":18.696445950211707,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:29","end":"00:12","startHours":23.48732501601766,"endHours":24.200965132791918,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:30","end":"07:50","startHours":6.491844198597871,"endHours":7.8299194175496005,"quality":"inauspicious"},{"name":"Śubha","start":"07:50","end":"09:10","startHours":7.8299194175496005,"endHours":9.16799463650133,"quality":"auspicious"},{"name":"Roga","start":"09:10","end":"10:30","startHours":9.16799463650133,"endHours":10.50606985545306,"quality":"inauspicious"},{"name":"Udveg","start":"10:30","end":"11:51","startHours":10.50606985545306,"endHours":11.84414507440479,"quality":"inauspicious"},{"name":"Chala","start":"11:51","end":"13:11","startHours":11.84414507440479,"endHours":13.182220293356519,"quality":"neutral"},{"name":"Labha","start":"13:11","end":"14:31","startHours":13.182220293356519,"endHours":14.520295512308248,"quality":"auspicious"},{"name":"Amṛta","start":"14:31","end":"15:52","startHours":14.520295512308248,"endHours":15.858370731259978,"quality":"auspicious"},{"name":"Kāla","start":"15:52","end":"17:12","startHours":15.858370731259978,"endHours":17.196445950211707,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:12","end":"18:52","startHours":17.196445950211707,"endHours":18.858370731259978,"quality":"auspicious"},{"name":"Amṛta","start":"18:52","end":"20:31","startHours":18.858370731259978,"endHours":20.520295512308248,"quality":"auspicious"},{"name":"Kāla","start":"20:31","end":"22:11","startHours":20.520295512308248,"endHours":22.18222029335652,"quality":"inauspicious"},{"name":"Śubha","start":"22:11","end":"23:51","startHours":22.18222029335652,"endHours":23.84414507440479,"quality":"auspicious"},{"name":"Roga","start":"23:51","end":"01:30","startHours":23.84414507440479,"endHours":25.50606985545306,"quality":"inauspicious"},{"name":"Udveg","start":"01:30","end":"03:10","startHours":25.50606985545306,"endHours":27.16799463650133,"quality":"inauspicious"},{"name":"Chala","start":"03:10","end":"04:50","startHours":27.16799463650133,"endHours":28.8299194175496,"quality":"neutral"},{"name":"Labha","start":"04:50","end":"06:30","startHours":28.8299194175496,"endHours":30.49184419859787,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.491844198597871,"endHours":7.491844198597871,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.491844198597871,"endHours":8.491844198597871,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.491844198597871,"endHours":9.491844198597871,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.491844198597871,"endHours":10.491844198597871,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.491844198597871,"endHours":11.491844198597871,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.491844198597871,"endHours":12.491844198597871,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.491844198597871,"endHours":13.491844198597871,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.491844198597871,"endHours":14.491844198597871,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.491844198597871,"endHours":15.491844198597871,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.491844198597871,"endHours":16.49184419859787,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.49184419859787,"endHours":17.49184419859787,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.49184419859787,"endHours":18.49184419859787,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.49184419859787,"endHours":19.49184419859787,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.49184419859787,"endHours":20.49184419859787,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.49184419859787,"endHours":21.49184419859787,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.49184419859787,"endHours":22.49184419859787,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.49184419859787,"endHours":23.49184419859787,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.49184419859787,"endHours":24.49184419859787,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.49184419859787,"endHours":25.49184419859787,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.49184419859787,"endHours":26.49184419859787,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.49184419859787,"endHours":27.49184419859787,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.49184419859787,"endHours":28.49184419859787,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.49184419859787,"endHours":29.49184419859787,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.49184419859787,"endHours":30.49184419859787,"planetary_lord":"Mercury"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Cara","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":-23.314544257717664,"eotMinutes":-1.8871044642874448,"ayanamsa":25.4733}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","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":"Mārgaśīrṣa Śukla Dvādaśī · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"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 December 28, 2115 CE · Ranchi, Jharkhand · Vidhyamitra","description":"December 28, 2115 CE for Ranchi, Jharkhand: Śukla Dvādaśī, sūryodaya 06:30, sūryāsta 17:12.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2115-12-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2115-12-28","sa":"https://sa.vidhyamitra.com/city/ranchi/2115-12-28","hi":"https://hi.vidhyamitra.com/city/ranchi/2115-12-28","x-default":"https://vidhyamitra.com/city/ranchi/2115-12-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:39:39.204Z","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":"2026-05-31T19:39:39.204Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:39:39.204Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}