{"id":"vidhyamitra:city-day:ranchi:2159-08-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2159-08-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-08-04","date_display":"August 4, 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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509833.770833,"kali_year":5261,"ahargana":1921368.2708,"sun":{"sidereal_longitude":104.5712,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":340.8875,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.3163,"elapsed_within_tithi_degrees":8.3163},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":340.8875,"elapsed_within_degrees":7.5542},"yoga":{"number":7,"name":"Sukarma","sum_longitude":85.4587},"karana":{"half_tithi_index":39,"name":"Taitila"},"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":2159,"month":8,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509833.770833,"ahargana":1921368.2708,"kali_year":5261,"ayanamsa_lahiri":26.0823,"grahas":{"sun":{"sidereal_longitude":105.49495100000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":339.002651,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":4.4771},"mars":{"sidereal_longitude":235.32955100000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":101.97015099999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":162.10515099999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":68.083751,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":175.46265100000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":256.6627,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":76.6627,"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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509833.770833,"kali_year":5261,"ahargana":1921368.2708,"sun":{"sidereal_longitude":104.5712,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":340.8875,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.3163,"elapsed_within_tithi_degrees":8.3163},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":340.8875,"elapsed_within_degrees":7.5542},"yoga":{"number":7,"name":"Sukarma","sum_longitude":85.4587},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.477,"elongation":123.684},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.477,"opposition_distance":56.316}},"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":"05:20","sunsetLocal":"18:29","solarNoonLocal":"11:55","dayLengthHours":13.1586329401498,"dayLengthDisplay":"13 Hours 09 Mins 31 Secs","nightLengthDisplay":"10 Hours 50 Mins 29 Secs","moonriseLocal":"21:23","moonsetLocal":"09:35","rahuKala":{"name":"Rāhu Kāla","start":"08:37","end":"10:16","startHours":8.619599522696515,"endHours":10.26442864021524,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:33","end":"15:12","startHours":13.55408687525269,"endHours":15.198915992771415,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:20","end":"06:58","startHours":5.329941287659064,"endHours":6.9747704051777895,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:24","end":"08:50","startHours":8.400288973694018,"endHours":8.838910071699011,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:53","end":"06:14","startHours":5.878217660165306,"endHours":6.2291145385693,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:21","startHours":11.47063665972897,"endHours":12.347878855738958,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:35","end":"04:27","startHours":3.575456895639091,"endHours":4.452699091649078,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:14","end":"05:20","startHours":4.233388542646582,"endHours":5.329941287659064,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:59","startHours":14.10236324775893,"endHours":14.979605443768916,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:17","end":"18:41","startHours":18.288574227808866,"endHours":18.688574227808864,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:29","end":"19:02","startHours":18.488574227808865,"endHours":19.036850600315105,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:14","end":"19:59","startHours":18.238574227808865,"endHours":19.988574227808865,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:21","startHours":23.47063665972897,"endHours":24.34787885573896,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:20","end":"06:58","startHours":5.329941287659064,"endHours":6.9747704051777895,"quality":"inauspicious"},{"name":"Śubha","start":"06:58","end":"08:37","startHours":6.9747704051777895,"endHours":8.619599522696515,"quality":"auspicious"},{"name":"Roga","start":"08:37","end":"10:16","startHours":8.619599522696515,"endHours":10.26442864021524,"quality":"inauspicious"},{"name":"Udveg","start":"10:16","end":"11:55","startHours":10.26442864021524,"endHours":11.909257757733965,"quality":"inauspicious"},{"name":"Chala","start":"11:55","end":"13:33","startHours":11.909257757733965,"endHours":13.55408687525269,"quality":"neutral"},{"name":"Labha","start":"13:33","end":"15:12","startHours":13.55408687525269,"endHours":15.198915992771415,"quality":"auspicious"},{"name":"Amṛta","start":"15:12","end":"16:51","startHours":15.198915992771415,"endHours":16.84374511029014,"quality":"auspicious"},{"name":"Kāla","start":"16:51","end":"18:29","startHours":16.84374511029014,"endHours":18.488574227808865,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:29","end":"19:51","startHours":18.488574227808865,"endHours":19.84374511029014,"quality":"auspicious"},{"name":"Amṛta","start":"19:51","end":"21:12","startHours":19.84374511029014,"endHours":21.198915992771415,"quality":"auspicious"},{"name":"Kāla","start":"21:12","end":"22:33","startHours":21.198915992771415,"endHours":22.55408687525269,"quality":"inauspicious"},{"name":"Śubha","start":"22:33","end":"23:55","startHours":22.55408687525269,"endHours":23.909257757733965,"quality":"auspicious"},{"name":"Roga","start":"23:55","end":"01:16","startHours":23.909257757733965,"endHours":25.26442864021524,"quality":"inauspicious"},{"name":"Udveg","start":"01:16","end":"02:37","startHours":25.26442864021524,"endHours":26.619599522696515,"quality":"inauspicious"},{"name":"Chala","start":"02:37","end":"03:58","startHours":26.619599522696515,"endHours":27.97477040517779,"quality":"neutral"},{"name":"Labha","start":"03:58","end":"05:20","startHours":27.97477040517779,"endHours":29.329941287659064,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:20","end":"06:20","startHours":5.329941287659064,"endHours":6.329941287659064,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:20","end":"07:20","startHours":6.329941287659064,"endHours":7.329941287659064,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:20","end":"08:20","startHours":7.329941287659064,"endHours":8.329941287659064,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:20","end":"09:20","startHours":8.329941287659064,"endHours":9.329941287659064,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:20","end":"10:20","startHours":9.329941287659064,"endHours":10.329941287659064,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:20","end":"11:20","startHours":10.329941287659064,"endHours":11.329941287659064,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:20","end":"12:20","startHours":11.329941287659064,"endHours":12.329941287659064,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:20","end":"13:20","startHours":12.329941287659064,"endHours":13.329941287659064,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:20","end":"14:20","startHours":13.329941287659064,"endHours":14.329941287659064,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:20","end":"15:20","startHours":14.329941287659064,"endHours":15.329941287659064,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:20","end":"16:20","startHours":15.329941287659064,"endHours":16.329941287659064,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:20","end":"17:20","startHours":16.329941287659064,"endHours":17.329941287659064,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:20","end":"18:20","startHours":17.329941287659064,"endHours":18.329941287659064,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:20","end":"19:20","startHours":18.329941287659064,"endHours":19.329941287659064,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:20","end":"20:20","startHours":19.329941287659064,"endHours":20.329941287659064,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:20","end":"21:20","startHours":20.329941287659064,"endHours":21.329941287659064,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:20","end":"22:20","startHours":21.329941287659064,"endHours":22.329941287659064,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:20","end":"23:20","startHours":22.329941287659064,"endHours":23.329941287659064,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:20","end":"00:20","startHours":23.329941287659064,"endHours":24.329941287659064,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:20","end":"01:20","startHours":24.329941287659064,"endHours":25.329941287659064,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:20","end":"02:20","startHours":25.329941287659064,"endHours":26.329941287659064,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:20","end":"03:20","startHours":26.329941287659064,"endHours":27.329941287659064,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:20","end":"04:20","startHours":27.329941287659064,"endHours":28.329941287659064,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:20","end":"05:20","startHours":28.329941287659064,"endHours":29.329941287659064,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Mausala","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":17.309213248479672,"eotMinutes":-5.793865464037833,"ayanamsa":26.0823}},"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 Pañcamī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"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 August 4, 2159 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 4, 2159 CE for Ranchi, Jharkhand: Kṛṣṇa Pañcamī, sūryodaya 05:20, sūryāsta 18:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2159-08-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2159-08-04","sa":"https://sa.vidhyamitra.com/city/ranchi/2159-08-04","hi":"https://hi.vidhyamitra.com/city/ranchi/2159-08-04","x-default":"https://vidhyamitra.com/city/ranchi/2159-08-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-28T21:24:13.803Z","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":"2026-05-28T21:24:13.803Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-28T21:24:13.803Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}