{"id":"vidhyamitra:city-day:ranchi:2153-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2153-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2153-12-20","date_display":"December 20, 2153 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":2153,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2507780.770833,"kali_year":5255,"ahargana":1919315.2708,"sun":{"sidereal_longitude":241.5964,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":299.3303,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":57.7338,"elapsed_within_tithi_degrees":9.7338},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":299.3303,"elapsed_within_degrees":5.9969},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":180.9267},"karana":{"half_tithi_index":9,"name":"Bālava"},"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":2153,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2507780.770833,"ahargana":1919315.2708,"kali_year":5255,"ayanamsa_lahiri":26.0038,"grahas":{"sun":{"sidereal_longitude":242.32259,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":301.38229,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":-4.1138},"mars":{"sidereal_longitude":259.23519,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":256.14319,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":351.41569,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":245.62939000000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":116.22548999999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":5.4406,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":185.4406,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":2153,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2507780.770833,"kali_year":5255,"ahargana":1919315.2708,"sun":{"sidereal_longitude":241.5964,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":299.3303,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":57.7338,"elapsed_within_tithi_degrees":9.7338},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":299.3303,"elapsed_within_degrees":5.9969},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":180.9267},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.114,"elongation":57.734},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.114,"opposition_distance":122.266}},"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":"06:26","sunsetLocal":"17:08","solarNoonLocal":"11:47","dayLengthHours":10.696997970102935,"dayLengthDisplay":"10 Hours 41 Mins 49 Secs","nightLengthDisplay":"13 Hours 18 Mins 11 Secs","moonriseLocal":"10:02","moonsetLocal":"21:24","rahuKala":{"name":"Rāhu Kāla","start":"13:07","end":"14:27","startHours":13.118952787555054,"endHours":14.456077533817922,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:26","end":"07:46","startHours":6.43332905624072,"endHours":7.770453802503587,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:06","end":"10:27","startHours":9.107578548766455,"endHours":10.44470329502932,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:17","startHours":8.929295249264738,"endHours":9.28586184826817,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:53","end":"07:10","startHours":6.879037304995009,"endHours":7.164290584197754,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:26","end":"12:08","startHours":11.425261442288756,"endHours":12.138394640295617,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:00","end":"05:43","startHours":5.007062660226996,"endHours":5.720195858233858,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:33","end":"06:26","startHours":5.541912558732142,"endHours":6.43332905624072,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:34","end":"14:17","startHours":13.564661036309342,"endHours":14.277794234316204,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:56","end":"17:20","startHours":16.930327026343654,"endHours":17.330327026343653,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:08","end":"17:35","startHours":17.130327026343654,"endHours":17.576035275097944,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:53","end":"18:38","startHours":16.880327026343654,"endHours":18.630327026343654,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:26","end":"00:08","startHours":23.425261442288754,"endHours":24.13839464029562,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:26","end":"07:46","startHours":6.43332905624072,"endHours":7.770453802503587,"quality":"auspicious"},{"name":"Roga","start":"07:46","end":"09:06","startHours":7.770453802503587,"endHours":9.107578548766455,"quality":"inauspicious"},{"name":"Udveg","start":"09:06","end":"10:27","startHours":9.107578548766455,"endHours":10.44470329502932,"quality":"inauspicious"},{"name":"Chala","start":"10:27","end":"11:47","startHours":10.44470329502932,"endHours":11.781828041292187,"quality":"neutral"},{"name":"Labha","start":"11:47","end":"13:07","startHours":11.781828041292187,"endHours":13.118952787555054,"quality":"auspicious"},{"name":"Amṛta","start":"13:07","end":"14:27","startHours":13.118952787555054,"endHours":14.456077533817922,"quality":"auspicious"},{"name":"Kāla","start":"14:27","end":"15:48","startHours":14.456077533817922,"endHours":15.793202280080788,"quality":"inauspicious"},{"name":"Śubha","start":"15:48","end":"17:08","startHours":15.793202280080788,"endHours":17.130327026343654,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:08","end":"18:48","startHours":17.130327026343654,"endHours":18.793202280080788,"quality":"auspicious"},{"name":"Kāla","start":"18:48","end":"20:27","startHours":18.793202280080788,"endHours":20.45607753381792,"quality":"inauspicious"},{"name":"Śubha","start":"20:27","end":"22:07","startHours":20.45607753381792,"endHours":22.118952787555052,"quality":"auspicious"},{"name":"Roga","start":"22:07","end":"23:47","startHours":22.118952787555052,"endHours":23.781828041292187,"quality":"inauspicious"},{"name":"Udveg","start":"23:47","end":"01:27","startHours":23.781828041292187,"endHours":25.44470329502932,"quality":"inauspicious"},{"name":"Chala","start":"01:27","end":"03:06","startHours":25.44470329502932,"endHours":27.107578548766455,"quality":"neutral"},{"name":"Labha","start":"03:06","end":"04:46","startHours":27.107578548766455,"endHours":28.770453802503585,"quality":"auspicious"},{"name":"Amṛta","start":"04:46","end":"06:26","startHours":28.770453802503585,"endHours":30.43332905624072,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:26","end":"07:26","startHours":6.43332905624072,"endHours":7.43332905624072,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:26","end":"08:26","startHours":7.43332905624072,"endHours":8.43332905624072,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:26","end":"09:26","startHours":8.43332905624072,"endHours":9.43332905624072,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:26","end":"10:26","startHours":9.43332905624072,"endHours":10.43332905624072,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:26","end":"11:26","startHours":10.43332905624072,"endHours":11.43332905624072,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:26","end":"12:26","startHours":11.43332905624072,"endHours":12.43332905624072,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:26","end":"13:26","startHours":12.43332905624072,"endHours":13.43332905624072,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:26","end":"14:26","startHours":13.43332905624072,"endHours":14.43332905624072,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:26","end":"15:26","startHours":14.43332905624072,"endHours":15.43332905624072,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:26","end":"16:26","startHours":15.43332905624072,"endHours":16.43332905624072,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:26","end":"17:26","startHours":16.43332905624072,"endHours":17.43332905624072,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:26","end":"18:26","startHours":17.43332905624072,"endHours":18.43332905624072,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:26","end":"19:26","startHours":18.43332905624072,"endHours":19.43332905624072,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:26","end":"20:26","startHours":19.43332905624072,"endHours":20.43332905624072,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:26","end":"21:26","startHours":20.43332905624072,"endHours":21.43332905624072,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:26","end":"22:26","startHours":21.43332905624072,"endHours":22.43332905624072,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:26","end":"23:26","startHours":22.43332905624072,"endHours":23.43332905624072,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:26","end":"00:26","startHours":23.43332905624072,"endHours":24.43332905624072,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:26","end":"01:26","startHours":24.43332905624072,"endHours":25.43332905624072,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:26","end":"02:26","startHours":25.43332905624072,"endHours":26.43332905624072,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:26","end":"03:26","startHours":26.43332905624072,"endHours":27.43332905624072,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:26","end":"04:26","startHours":27.43332905624072,"endHours":28.43332905624072,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:26","end":"05:26","startHours":28.43332905624072,"endHours":29.43332905624072,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:26","end":"06:26","startHours":29.43332905624072,"endHours":30.43332905624072,"planetary_lord":"Moon"}],"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":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.425905221119823,"eotMinutes":1.851917522468745,"ayanamsa":26.0038}},"calendars":{"vikram_samvat":2210,"vikram_samvatsara":"Akṣaya","saka_samvat":2075,"saka_samvatsara":"Pramādī","bengali_samvat":1560,"malayalam_era":1329,"nanakshahi_year":684,"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 Pañcamī · Vikram 2210 Akṣaya · Śaka 2075 Pramādī"},"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 December 20, 2153 CE · Ranchi, Jharkhand · Vidhyamitra","description":"December 20, 2153 CE for Ranchi, Jharkhand: Śukla Pañcamī, sūryodaya 06:26, sūryāsta 17:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2153-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2153-12-20","sa":"https://sa.vidhyamitra.com/city/ranchi/2153-12-20","hi":"https://hi.vidhyamitra.com/city/ranchi/2153-12-20","x-default":"https://vidhyamitra.com/city/ranchi/2153-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T03:48:41.923Z","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":"2026-06-02T03:48:41.923Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T03:48:41.923Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}