{"id":"vidhyamitra:city-day:ranchi:2135-08-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2135-08-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2135-08-16","date_display":"August 16, 2135 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":2135,"month":8,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501079.770833,"kali_year":5237,"ahargana":1912614.2708,"sun":{"sidereal_longitude":116.2045,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":200.1625,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":83.958,"elapsed_within_tithi_degrees":11.958},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":200.1625,"elapsed_within_degrees":0.1625},"yoga":{"number":24,"name":"Śukla","sum_longitude":316.367},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"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":2135,"month":8,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2501079.770833,"ahargana":1912614.2708,"kali_year":5237,"ayanamsa_lahiri":25.7475,"grahas":{"sun":{"sidereal_longitude":117.13871800000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":203.03841799999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":-1.5134},"mars":{"sidereal_longitude":54.36411800000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":140.668318,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":157.39041799999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":76.928718,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":238.29551800000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":0.4918,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":180.4918,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"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":2135,"month":8,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501079.770833,"kali_year":5237,"ahargana":1912614.2708,"sun":{"sidereal_longitude":116.2045,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":200.1625,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":83.958,"elapsed_within_tithi_degrees":11.958},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":200.1625,"elapsed_within_degrees":0.1625},"yoga":{"number":24,"name":"Śukla","sum_longitude":316.367},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.513,"elongation":83.958},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.513,"opposition_distance":96.042}},"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":"05:24","sunsetLocal":"18:21","solarNoonLocal":"11:53","dayLengthHours":12.942073928899553,"dayLengthDisplay":"12 Hours 56 Mins 31 Secs","nightLengthDisplay":"11 Hours 03 Mins 29 Secs","moonriseLocal":"12:05","moonsetLocal":"23:08","rahuKala":{"name":"Rāhu Kāla","start":"15:07","end":"16:44","startHours":15.114376075510426,"endHours":16.73213531662287,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:39","end":"10:16","startHours":8.64333911106065,"endHours":10.261098352173093,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:53","end":"13:30","startHours":11.878857593285538,"endHours":13.496616834397983,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:26","end":"08:52","startHours":8.427637878912325,"endHours":8.859040343208976,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:57","end":"06:18","startHours":5.947073709206576,"endHours":6.292195680643897,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:27","end":"12:19","startHours":11.447455128988887,"endHours":12.31026005758219,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:41","end":"04:33","startHours":3.682210771649154,"endHours":4.545015700242458,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:24","startHours":4.329314468094132,"endHours":5.407820628835761,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:54","startHours":14.035869914768798,"endHours":14.898674843362102,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:09","end":"18:33","startHours":18.149894557735315,"endHours":18.549894557735314,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:21","end":"18:53","startHours":18.349894557735315,"endHours":18.88914763810613,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:06","end":"19:51","startHours":18.099894557735315,"endHours":19.849894557735315,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:27","end":"00:19","startHours":23.447455128988885,"endHours":24.31026005758219,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:24","end":"07:02","startHours":5.407820628835761,"endHours":7.0255798699482055,"quality":"inauspicious"},{"name":"Udveg","start":"07:02","end":"08:39","startHours":7.0255798699482055,"endHours":8.64333911106065,"quality":"inauspicious"},{"name":"Chala","start":"08:39","end":"10:16","startHours":8.64333911106065,"endHours":10.261098352173093,"quality":"neutral"},{"name":"Labha","start":"10:16","end":"11:53","startHours":10.261098352173093,"endHours":11.878857593285538,"quality":"auspicious"},{"name":"Amṛta","start":"11:53","end":"13:30","startHours":11.878857593285538,"endHours":13.496616834397983,"quality":"auspicious"},{"name":"Kāla","start":"13:30","end":"15:07","startHours":13.496616834397983,"endHours":15.114376075510426,"quality":"inauspicious"},{"name":"Śubha","start":"15:07","end":"16:44","startHours":15.114376075510426,"endHours":16.73213531662287,"quality":"auspicious"},{"name":"Roga","start":"16:44","end":"18:21","startHours":16.73213531662287,"endHours":18.349894557735315,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:21","end":"19:44","startHours":18.349894557735315,"endHours":19.73213531662287,"quality":"inauspicious"},{"name":"Śubha","start":"19:44","end":"21:07","startHours":19.73213531662287,"endHours":21.114376075510428,"quality":"auspicious"},{"name":"Roga","start":"21:07","end":"22:30","startHours":21.114376075510428,"endHours":22.496616834397983,"quality":"inauspicious"},{"name":"Udveg","start":"22:30","end":"23:53","startHours":22.496616834397983,"endHours":23.878857593285538,"quality":"inauspicious"},{"name":"Chala","start":"23:53","end":"01:16","startHours":23.878857593285538,"endHours":25.261098352173093,"quality":"neutral"},{"name":"Labha","start":"01:16","end":"02:39","startHours":25.261098352173093,"endHours":26.643339111060648,"quality":"auspicious"},{"name":"Amṛta","start":"02:39","end":"04:02","startHours":26.643339111060648,"endHours":28.025579869948206,"quality":"auspicious"},{"name":"Kāla","start":"04:02","end":"05:24","startHours":28.025579869948206,"endHours":29.40782062883576,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.407820628835761,"endHours":6.407820628835761,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.407820628835761,"endHours":7.407820628835761,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.407820628835761,"endHours":8.407820628835761,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.407820628835761,"endHours":9.407820628835761,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.407820628835761,"endHours":10.407820628835761,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.407820628835761,"endHours":11.407820628835761,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.407820628835761,"endHours":12.407820628835761,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.407820628835761,"endHours":13.407820628835761,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.407820628835761,"endHours":14.407820628835761,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.407820628835761,"endHours":15.407820628835761,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.407820628835761,"endHours":16.40782062883576,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.40782062883576,"endHours":17.40782062883576,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.40782062883576,"endHours":18.40782062883576,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.40782062883576,"endHours":19.40782062883576,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.40782062883576,"endHours":20.40782062883576,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.40782062883576,"endHours":21.40782062883576,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.40782062883576,"endHours":22.40782062883576,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.40782062883576,"endHours":23.40782062883576,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.40782062883576,"endHours":24.40782062883576,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.40782062883576,"endHours":25.40782062883576,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.40782062883576,"endHours":26.40782062883576,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.40782062883576,"endHours":27.40782062883576,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.40782062883576,"endHours":28.40782062883576,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.40782062883576,"endHours":29.40782062883576,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"North","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":13.886050274077139,"eotMinutes":-3.969855597132357,"ayanamsa":25.7475}},"calendars":{"vikram_samvat":2192,"vikram_samvatsara":"Kīlaka","saka_samvat":2057,"saka_samvatsara":"Manmatha","bengali_samvat":1542,"malayalam_era":1311,"nanakshahi_year":666,"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 Saptamī · Vikram 2192 Kīlaka · Śaka 2057 Manmatha"},"festivals":[],"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":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"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 16, 2135 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 16, 2135 CE for Ranchi, Jharkhand: Śukla Saptamī, sūryodaya 05:24, sūryāsta 18:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2135-08-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2135-08-16","sa":"https://sa.vidhyamitra.com/city/ranchi/2135-08-16","hi":"https://hi.vidhyamitra.com/city/ranchi/2135-08-16","x-default":"https://vidhyamitra.com/city/ranchi/2135-08-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T19:41:19.929Z","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":"2026-06-01T19:41:19.929Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T19:41:19.929Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}