{"id":"vidhyamitra:city-day:ranchi:2159-08-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2159-08-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-08-07","date_display":"August 7, 2159 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":2159,"month":8,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509836.770833,"kali_year":5261,"ahargana":1921371.2708,"sun":{"sidereal_longitude":107.4248,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":20.9463,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":273.5215,"elapsed_within_tithi_degrees":9.5215},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.9463,"elapsed_within_degrees":7.613},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":128.3711},"karana":{"half_tithi_index":45,"name":"Kaulava"},"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":2159,"month":8,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509836.770833,"ahargana":1921371.2708,"kali_year":5261,"ayanamsa_lahiri":26.0824,"grahas":{"sun":{"sidereal_longitude":108.36613599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":18.981435999999974,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":3.7099},"mars":{"sidereal_longitude":235.69223599999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":108.18593600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":162.57993599999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":69.02583600000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":175.65753599999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":256.5038,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":76.5038,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2159,"month":8,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509836.770833,"kali_year":5261,"ahargana":1921371.2708,"sun":{"sidereal_longitude":107.4248,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":20.9463,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":273.5215,"elapsed_within_tithi_degrees":9.5215},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":20.9463,"elapsed_within_degrees":7.613},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":128.3711},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.71,"elongation":86.478},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.71,"opposition_distance":93.522}},"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":13.106338534216583,"dayLengthDisplay":"13 Hours 06 Mins 23 Secs","nightLengthDisplay":"10 Hours 53 Mins 37 Secs","moonriseLocal":"23:25","moonsetLocal":"12:28","rahuKala":{"name":"Rāhu Kāla","start":"15:11","end":"16:49","startHours":15.180542897139572,"endHours":16.818835213916646,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:38","end":"10:16","startHours":8.62737363003128,"endHours":10.265665946808355,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:54","end":"13:33","startHours":11.903958263585427,"endHours":13.542250580362499,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:25","end":"08:51","startHours":8.408934654461005,"endHours":8.845812605601557,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:54","end":"06:15","startHours":5.896886435402826,"endHours":6.246388796315268,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:20","startHours":11.467080312444875,"endHours":12.340836214725979,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:36","end":"04:29","startHours":3.6032771919149242,"endHours":4.477033094196029,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:16","end":"05:21","startHours":4.258594118625753,"endHours":5.350788996477135,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:58","startHours":14.08834801928819,"endHours":14.962103921569296,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:15","end":"18:39","startHours":18.25712753069372,"endHours":18.657127530693717,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:27","end":"19:00","startHours":18.457127530693718,"endHours":19.00322496961941,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:12","end":"19:57","startHours":18.207127530693718,"endHours":19.957127530693718,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:20","startHours":23.467080312444875,"endHours":24.34083621472598,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:21","end":"06:59","startHours":5.350788996477135,"endHours":6.989081313254208,"quality":"inauspicious"},{"name":"Udveg","start":"06:59","end":"08:38","startHours":6.989081313254208,"endHours":8.62737363003128,"quality":"inauspicious"},{"name":"Chala","start":"08:38","end":"10:16","startHours":8.62737363003128,"endHours":10.265665946808355,"quality":"neutral"},{"name":"Labha","start":"10:16","end":"11:54","startHours":10.265665946808355,"endHours":11.903958263585427,"quality":"auspicious"},{"name":"Amṛta","start":"11:54","end":"13:33","startHours":11.903958263585427,"endHours":13.542250580362499,"quality":"auspicious"},{"name":"Kāla","start":"13:33","end":"15:11","startHours":13.542250580362499,"endHours":15.180542897139572,"quality":"inauspicious"},{"name":"Śubha","start":"15:11","end":"16:49","startHours":15.180542897139572,"endHours":16.818835213916646,"quality":"auspicious"},{"name":"Roga","start":"16:49","end":"18:27","startHours":16.818835213916646,"endHours":18.457127530693718,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:27","end":"19:49","startHours":18.457127530693718,"endHours":19.818835213916646,"quality":"inauspicious"},{"name":"Śubha","start":"19:49","end":"21:11","startHours":19.818835213916646,"endHours":21.180542897139574,"quality":"auspicious"},{"name":"Roga","start":"21:11","end":"22:33","startHours":21.180542897139574,"endHours":22.5422505803625,"quality":"inauspicious"},{"name":"Udveg","start":"22:33","end":"23:54","startHours":22.5422505803625,"endHours":23.903958263585427,"quality":"inauspicious"},{"name":"Chala","start":"23:54","end":"01:16","startHours":23.903958263585427,"endHours":25.265665946808355,"quality":"neutral"},{"name":"Labha","start":"01:16","end":"02:38","startHours":25.265665946808355,"endHours":26.62737363003128,"quality":"auspicious"},{"name":"Amṛta","start":"02:38","end":"03:59","startHours":26.62737363003128,"endHours":27.989081313254207,"quality":"auspicious"},{"name":"Kāla","start":"03:59","end":"05:21","startHours":27.989081313254207,"endHours":29.350788996477135,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:21","end":"06:21","startHours":5.350788996477135,"endHours":6.350788996477135,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:21","end":"07:21","startHours":6.350788996477135,"endHours":7.350788996477135,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:21","end":"08:21","startHours":7.350788996477135,"endHours":8.350788996477135,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:21","end":"09:21","startHours":8.350788996477135,"endHours":9.350788996477135,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:21","end":"10:21","startHours":9.350788996477135,"endHours":10.350788996477135,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:21","end":"11:21","startHours":10.350788996477135,"endHours":11.350788996477135,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:21","end":"12:21","startHours":11.350788996477135,"endHours":12.350788996477135,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:21","end":"13:21","startHours":12.350788996477135,"endHours":13.350788996477135,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:21","end":"14:21","startHours":13.350788996477135,"endHours":14.350788996477135,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:21","end":"15:21","startHours":14.350788996477135,"endHours":15.350788996477135,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:21","end":"16:21","startHours":15.350788996477135,"endHours":16.350788996477135,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:21","end":"17:21","startHours":16.350788996477135,"endHours":17.350788996477135,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:21","end":"18:21","startHours":17.350788996477135,"endHours":18.350788996477135,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:21","end":"19:21","startHours":18.350788996477135,"endHours":19.350788996477135,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:21","end":"20:21","startHours":19.350788996477135,"endHours":20.350788996477135,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:21","end":"21:21","startHours":20.350788996477135,"endHours":21.350788996477135,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:21","end":"22:21","startHours":21.350788996477135,"endHours":22.350788996477135,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:21","end":"23:21","startHours":22.350788996477135,"endHours":23.350788996477135,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:21","end":"00:21","startHours":23.350788996477135,"endHours":24.350788996477135,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:21","end":"01:21","startHours":24.350788996477135,"endHours":25.350788996477135,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:21","end":"02:21","startHours":25.350788996477135,"endHours":26.350788996477135,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:21","end":"03:21","startHours":26.350788996477135,"endHours":27.350788996477135,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:21","end":"04:21","startHours":27.350788996477135,"endHours":28.350788996477135,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:21","end":"05:21","startHours":28.350788996477135,"endHours":29.350788996477135,"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Mudgara","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":16.495087896629872,"eotMinutes":-5.475895815125568,"ayanamsa":26.0824}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","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 Kṛṣṇa Aṣṭamī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"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":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","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 7, 2159 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 7, 2159 CE for Ranchi, Jharkhand: Kṛṣṇa Aṣṭamī, sūryodaya 05:21, sūryāsta 18:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2159-08-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2159-08-07","sa":"https://sa.vidhyamitra.com/city/ranchi/2159-08-07","hi":"https://hi.vidhyamitra.com/city/ranchi/2159-08-07","x-default":"https://vidhyamitra.com/city/ranchi/2159-08-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-28T22:39:25.013Z","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":"2026-05-28T22:39:25.013Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-28T22:39:25.013Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}