{"id":"vidhyamitra:city-day:ranchi:1872-08-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/1872-08-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1872-08-07","date_display":"August 7, 1872 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":1872,"month":8,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2405012.770833,"kali_year":4974,"ahargana":1816547.2708,"sun":{"sidereal_longitude":112.4381,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":144.0505,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":31.6124,"elapsed_within_tithi_degrees":7.6124},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":144.0505,"elapsed_within_degrees":10.7172},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.4886},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1872,"month":8,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2405012.770833,"ahargana":1816547.2708,"kali_year":4974,"ayanamsa_lahiri":22.0733,"grahas":{"sun":{"sidereal_longitude":112.71358399999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":141.844784,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false,"latitude":4.4917},"mars":{"sidereal_longitude":92.051084,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":141.489484,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":111.06228399999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":120.539984,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":265.08108400000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":50.5838,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":230.5838,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":1872,"month":8,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2405012.770833,"kali_year":4974,"ahargana":1816547.2708,"sun":{"sidereal_longitude":112.4381,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":144.0505,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":31.6124,"elapsed_within_tithi_degrees":7.6124},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":144.0505,"elapsed_within_degrees":10.7172},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.4886},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.492,"elongation":31.612},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.492,"opposition_distance":148.388}},"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":"05:21","sunsetLocal":"18:27","solarNoonLocal":"11:54","dayLengthHours":13.100043769299411,"dayLengthDisplay":"13 Hours 06 Mins 00 Secs","nightLengthDisplay":"10 Hours 54 Mins 00 Secs","moonriseLocal":"07:37","moonsetLocal":"20:04","rahuKala":{"name":"Rāhu Kāla","start":"11:54","end":"13:32","startHours":11.903958263585427,"endHours":13.541463734747854,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:59","end":"08:38","startHours":6.9914418500981474,"endHours":8.628947321260574,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:16","end":"11:54","startHours":10.266452792423,"endHours":11.903958263585427,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:25","end":"08:51","startHours":8.410613258438918,"endHours":8.84728138408223,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:54","end":"06:15","startHours":5.8997715359898635,"endHours":6.249106036504514,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:20","startHours":11.467290137942113,"endHours":12.34062638922874,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:36","end":"04:29","startHours":3.6072638763624663,"endHours":4.480600127649094,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:16","end":"05:21","startHours":4.262266064827437,"endHours":5.353936378935721,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:58","startHours":14.087298891801995,"endHours":14.960635143088622,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:15","end":"18:39","startHours":18.253980148235133,"endHours":18.65398014823513,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:27","end":"19:00","startHours":18.453980148235132,"endHours":18.999815305289275,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:12","end":"19:57","startHours":18.203980148235132,"endHours":19.953980148235132,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:20","startHours":23.46729013794211,"endHours":24.340626389228742,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:21","end":"06:59","startHours":5.353936378935721,"endHours":6.9914418500981474,"quality":"auspicious"},{"name":"Amṛta","start":"06:59","end":"08:38","startHours":6.9914418500981474,"endHours":8.628947321260574,"quality":"auspicious"},{"name":"Kāla","start":"08:38","end":"10:16","startHours":8.628947321260574,"endHours":10.266452792423,"quality":"inauspicious"},{"name":"Śubha","start":"10:16","end":"11:54","startHours":10.266452792423,"endHours":11.903958263585427,"quality":"auspicious"},{"name":"Roga","start":"11:54","end":"13:32","startHours":11.903958263585427,"endHours":13.541463734747854,"quality":"inauspicious"},{"name":"Udveg","start":"13:32","end":"15:11","startHours":13.541463734747854,"endHours":15.17896920591028,"quality":"inauspicious"},{"name":"Chala","start":"15:11","end":"16:49","startHours":15.17896920591028,"endHours":16.816474677072705,"quality":"neutral"},{"name":"Labha","start":"16:49","end":"18:27","startHours":16.816474677072705,"endHours":18.453980148235132,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:27","end":"19:49","startHours":18.453980148235132,"endHours":19.816474677072705,"quality":"inauspicious"},{"name":"Chala","start":"19:49","end":"21:11","startHours":19.816474677072705,"endHours":21.178969205910278,"quality":"neutral"},{"name":"Labha","start":"21:11","end":"22:32","startHours":21.178969205910278,"endHours":22.541463734747854,"quality":"auspicious"},{"name":"Amṛta","start":"22:32","end":"23:54","startHours":22.541463734747854,"endHours":23.903958263585427,"quality":"auspicious"},{"name":"Kāla","start":"23:54","end":"01:16","startHours":23.903958263585427,"endHours":25.266452792423,"quality":"inauspicious"},{"name":"Śubha","start":"01:16","end":"02:38","startHours":25.266452792423,"endHours":26.628947321260576,"quality":"auspicious"},{"name":"Roga","start":"02:38","end":"03:59","startHours":26.628947321260576,"endHours":27.99144185009815,"quality":"inauspicious"},{"name":"Udveg","start":"03:59","end":"05:21","startHours":27.99144185009815,"endHours":29.35393637893572,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:21","end":"06:21","startHours":5.353936378935721,"endHours":6.353936378935721,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:21","end":"07:21","startHours":6.353936378935721,"endHours":7.353936378935721,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:21","end":"08:21","startHours":7.353936378935721,"endHours":8.353936378935721,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:21","end":"09:21","startHours":8.353936378935721,"endHours":9.353936378935721,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:21","end":"10:21","startHours":9.353936378935721,"endHours":10.353936378935721,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:21","end":"11:21","startHours":10.353936378935721,"endHours":11.353936378935721,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:21","end":"12:21","startHours":11.353936378935721,"endHours":12.353936378935721,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:21","end":"13:21","startHours":12.353936378935721,"endHours":13.353936378935721,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:21","end":"14:21","startHours":13.353936378935721,"endHours":14.353936378935721,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:21","end":"15:21","startHours":14.353936378935721,"endHours":15.353936378935721,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:21","end":"16:21","startHours":15.353936378935721,"endHours":16.35393637893572,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:21","end":"17:21","startHours":16.35393637893572,"endHours":17.35393637893572,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:21","end":"18:21","startHours":17.35393637893572,"endHours":18.35393637893572,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:21","end":"19:21","startHours":18.35393637893572,"endHours":19.35393637893572,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:21","end":"20:21","startHours":19.35393637893572,"endHours":20.35393637893572,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:21","end":"21:21","startHours":20.35393637893572,"endHours":21.35393637893572,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:21","end":"22:21","startHours":21.35393637893572,"endHours":22.35393637893572,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:21","end":"23:21","startHours":22.35393637893572,"endHours":23.35393637893572,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:21","end":"00:21","startHours":23.35393637893572,"endHours":24.35393637893572,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:21","end":"01:21","startHours":24.35393637893572,"endHours":25.35393637893572,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:21","end":"02:21","startHours":25.35393637893572,"endHours":26.35393637893572,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:21","end":"03:21","startHours":26.35393637893572,"endHours":27.35393637893572,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:21","end":"04:21","startHours":27.35393637893572,"endHours":28.35393637893572,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:21","end":"05:21","startHours":28.35393637893572,"endHours":29.35393637893572,"planetary_lord":"Sun"}],"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":"South-West","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":16.396536330932214,"eotMinutes":-5.475895815125568,"ayanamsa":22.0733}},"calendars":{"vikram_samvat":1929,"vikram_samvatsara":"Pārthiva","saka_samvat":1794,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1279,"malayalam_era":1048,"nanakshahi_year":403,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Tṛtīyā · Vikram 1929 Pārthiva · Śaka 1794 Aṅgirasa"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 August 7, 1872 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 7, 1872 CE for Ranchi, Jharkhand: Śukla Tṛtīyā, sūryodaya 05:21, sūryāsta 18:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/1872-08-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/1872-08-07","sa":"https://sa.vidhyamitra.com/city/ranchi/1872-08-07","hi":"https://hi.vidhyamitra.com/city/ranchi/1872-08-07","x-default":"https://vidhyamitra.com/city/ranchi/1872-08-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T13:02:11.951Z","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":"2026-06-02T13:02:11.951Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T13:02:11.951Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}