{"id":"vidhyamitra:city-day:ranchi:2087-08-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2087-08-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-08-28","date_display":"August 28, 2087 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":2087,"month":8,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483560.770833,"kali_year":5189,"ahargana":1895095.2708,"sun":{"sidereal_longitude":129.0605,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":128.7282,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":359.6677,"elapsed_within_tithi_degrees":11.6677},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.7282,"elapsed_within_degrees":8.7282},"yoga":{"number":20,"name":"Śiva","sum_longitude":257.7887},"karana":{"half_tithi_index":59,"name":"Nāga"},"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":2087,"month":8,"day":28,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483560.770833,"ahargana":1895095.2708,"kali_year":5189,"ayanamsa_lahiri":25.0775,"grahas":{"sun":{"sidereal_longitude":129.939973,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":127.78407300000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":-4.4316},"mars":{"sidereal_longitude":160.168273,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":152.347673,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":148.035373,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":90.81587300000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":17.947772999999984,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":208.7327,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":28.7327,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"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":2087,"month":8,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483560.770833,"kali_year":5189,"ahargana":1895095.2708,"sun":{"sidereal_longitude":129.0605,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":128.7282,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":359.6677,"elapsed_within_tithi_degrees":11.6677},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.7282,"elapsed_within_degrees":8.7282},"yoga":{"number":20,"name":"Śiva","sum_longitude":257.7887},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.432,"elongation":0.332},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.432,"opposition_distance":179.668}},"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":"05:29","sunsetLocal":"18:10","solarNoonLocal":"11:50","dayLengthHours":12.685443498781211,"dayLengthDisplay":"12 Hours 41 Mins 08 Secs","nightLengthDisplay":"11 Hours 18 Mins 52 Secs","moonriseLocal":"05:20","moonsetLocal":"18:02","rahuKala":{"name":"Rāhu Kāla","start":"13:25","end":"15:00","startHours":13.411882582697388,"endHours":14.997563020045039,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:29","end":"07:04","startHours":5.483480395959131,"endHours":7.069160833306783,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:39","end":"10:14","startHours":8.654841270654433,"endHours":10.240521708002085,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:27","end":"08:52","startHours":8.443417212341414,"endHours":8.866265328967454,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:01","end":"06:21","startHours":6.012040541741682,"endHours":6.350319035042514,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:24","end":"12:15","startHours":11.403354028723696,"endHours":12.249050261975777,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:48","end":"04:38","startHours":3.79208792945497,"endHours":4.63778416270705,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:26","end":"05:29","startHours":4.42636010439403,"endHours":5.483480395959131,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:47","startHours":13.94044272847994,"endHours":14.786138961732021,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:58","end":"18:22","startHours":17.968923894740342,"endHours":18.36892389474034,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:10","end":"18:42","startHours":18.16892389474034,"endHours":18.69748404052289,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:55","end":"19:40","startHours":17.91892389474034,"endHours":19.66892389474034,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:24","end":"00:15","startHours":23.403354028723697,"endHours":24.249050261975775,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:29","end":"07:04","startHours":5.483480395959131,"endHours":7.069160833306783,"quality":"auspicious"},{"name":"Roga","start":"07:04","end":"08:39","startHours":7.069160833306783,"endHours":8.654841270654433,"quality":"inauspicious"},{"name":"Udveg","start":"08:39","end":"10:14","startHours":8.654841270654433,"endHours":10.240521708002085,"quality":"inauspicious"},{"name":"Chala","start":"10:14","end":"11:50","startHours":10.240521708002085,"endHours":11.826202145349736,"quality":"neutral"},{"name":"Labha","start":"11:50","end":"13:25","startHours":11.826202145349736,"endHours":13.411882582697388,"quality":"auspicious"},{"name":"Amṛta","start":"13:25","end":"15:00","startHours":13.411882582697388,"endHours":14.997563020045039,"quality":"auspicious"},{"name":"Kāla","start":"15:00","end":"16:35","startHours":14.997563020045039,"endHours":16.58324345739269,"quality":"inauspicious"},{"name":"Śubha","start":"16:35","end":"18:10","startHours":16.58324345739269,"endHours":18.16892389474034,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:10","end":"19:35","startHours":18.16892389474034,"endHours":19.58324345739269,"quality":"auspicious"},{"name":"Kāla","start":"19:35","end":"21:00","startHours":19.58324345739269,"endHours":20.99756302004504,"quality":"inauspicious"},{"name":"Śubha","start":"21:00","end":"22:25","startHours":20.99756302004504,"endHours":22.411882582697388,"quality":"auspicious"},{"name":"Roga","start":"22:25","end":"23:50","startHours":22.411882582697388,"endHours":23.826202145349736,"quality":"inauspicious"},{"name":"Udveg","start":"23:50","end":"01:14","startHours":23.826202145349736,"endHours":25.240521708002085,"quality":"inauspicious"},{"name":"Chala","start":"01:14","end":"02:39","startHours":25.240521708002085,"endHours":26.654841270654433,"quality":"neutral"},{"name":"Labha","start":"02:39","end":"04:04","startHours":26.654841270654433,"endHours":28.069160833306782,"quality":"auspicious"},{"name":"Amṛta","start":"04:04","end":"05:29","startHours":28.069160833306782,"endHours":29.48348039595913,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:29","end":"06:29","startHours":5.483480395959131,"endHours":6.483480395959131,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:29","end":"07:29","startHours":6.483480395959131,"endHours":7.483480395959131,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:29","end":"08:29","startHours":7.483480395959131,"endHours":8.48348039595913,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:29","end":"09:29","startHours":8.48348039595913,"endHours":9.48348039595913,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:29","end":"10:29","startHours":9.48348039595913,"endHours":10.48348039595913,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:29","end":"11:29","startHours":10.48348039595913,"endHours":11.48348039595913,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:29","end":"12:29","startHours":11.48348039595913,"endHours":12.48348039595913,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:29","end":"13:29","startHours":12.48348039595913,"endHours":13.48348039595913,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:29","end":"14:29","startHours":13.48348039595913,"endHours":14.48348039595913,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:29","end":"15:29","startHours":14.48348039595913,"endHours":15.48348039595913,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:29","end":"16:29","startHours":15.48348039595913,"endHours":16.48348039595913,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:29","end":"17:29","startHours":16.48348039595913,"endHours":17.48348039595913,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:29","end":"18:29","startHours":17.48348039595913,"endHours":18.48348039595913,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:29","end":"19:29","startHours":18.48348039595913,"endHours":19.48348039595913,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:29","end":"20:29","startHours":19.48348039595913,"endHours":20.48348039595913,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:29","end":"21:29","startHours":20.48348039595913,"endHours":21.48348039595913,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:29","end":"22:29","startHours":21.48348039595913,"endHours":22.48348039595913,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:29","end":"23:29","startHours":22.48348039595913,"endHours":23.48348039595913,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:29","end":"00:29","startHours":23.48348039595913,"endHours":24.48348039595913,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:29","end":"01:29","startHours":24.48348039595913,"endHours":25.48348039595913,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:29","end":"02:29","startHours":25.48348039595913,"endHours":26.48348039595913,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:29","end":"03:29","startHours":26.48348039595913,"endHours":27.48348039595913,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:29","end":"04:29","startHours":27.48348039595913,"endHours":28.48348039595913,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:29","end":"05:29","startHours":28.48348039595913,"endHours":29.48348039595913,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","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":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":9.670338347588665,"eotMinutes":-0.8105287209842176,"ayanamsa":25.0775}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Amāvasyā · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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 28, 2087 CE · Ranchi, Jharkhand · Vidhyamitra","description":"August 28, 2087 CE for Ranchi, Jharkhand: Kṛṣṇa Amāvasyā, sūryodaya 05:29, sūryāsta 18:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2087-08-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2087-08-28","sa":"https://sa.vidhyamitra.com/city/ranchi/2087-08-28","hi":"https://hi.vidhyamitra.com/city/ranchi/2087-08-28","x-default":"https://vidhyamitra.com/city/ranchi/2087-08-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T17:06:06.207Z","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":"2026-06-02T17:06:06.207Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T17:06:06.207Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}