{"id":"vidhyamitra:city-day:thane:2168-05-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/thane/2168-05-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2168-05-31","date_display":"May 31, 2168 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":2168,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513056.770833,"kali_year":5270,"ahargana":1924591.2708,"sun":{"sidereal_longitude":43.5712,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":327.7892,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":284.2181,"elapsed_within_tithi_degrees":8.2181},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":327.7892,"elapsed_within_degrees":7.7892},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":11.3604},"karana":{"half_tithi_index":47,"name":"Gara"},"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":2168,"month":5,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513056.770833,"ahargana":1924591.2708,"kali_year":5270,"ayanamsa_lahiri":26.2056,"grahas":{"sun":{"sidereal_longitude":44.07530800000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":325.154708,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false,"latitude":-3.9685},"mars":{"sidereal_longitude":120.86710799999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":17.53940799999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":78.089808,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":51.28350799999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":284.713308,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":85.8927,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":265.8927,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"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":2168,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513056.770833,"kali_year":5270,"ahargana":1924591.2708,"sun":{"sidereal_longitude":43.5712,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":327.7892,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":284.2181,"elapsed_within_tithi_degrees":8.2181},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":327.7892,"elapsed_within_degrees":7.7892},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":11.3604},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.969,"elongation":75.782},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.969,"opposition_distance":104.218}},"eclipse_window_40days":[]},"city":{"slug":"thane","name":"Thane, Maharashtra","lat":19.2183,"lon":72.9781,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"thane","name":"Thane, Maharashtra","lat":19.2183,"lon":72.9781,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"05:59","sunsetLocal":"19:12","solarNoonLocal":"12:36","dayLengthHours":13.207149730134311,"dayLengthDisplay":"13 Hours 12 Mins 26 Secs","nightLengthDisplay":"10 Hours 47 Mins 34 Secs","moonriseLocal":"01:22","moonsetLocal":"13:18","rahuKala":{"name":"Rāhu Kāla","start":"15:54","end":"17:33","startHours":15.894921319897918,"endHours":17.545815036164704,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:17","end":"10:57","startHours":9.291346454830762,"endHours":10.94224017109755,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:36","end":"14:15","startHours":12.593133887364338,"endHours":14.244027603631128,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:31","startHours":9.071227292661856,"endHours":9.511465616999667,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:32","end":"06:54","startHours":6.5398569277194465,"endHours":6.892047587189695,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"13:02","startHours":12.152895563026528,"endHours":13.033372211702149,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:14","end":"05:07","startHours":4.2286057249459414,"endHours":5.109082373621563,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:53","end":"05:59","startHours":4.8889632114526576,"endHours":5.9895590222971835,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:48","end":"15:40","startHours":14.79432550905339,"endHours":15.674802157729012,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:00","end":"19:24","startHours":18.996708752431495,"endHours":19.396708752431493,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:12","end":"19:45","startHours":19.196708752431494,"endHours":19.747006657853756,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:57","end":"20:42","startHours":18.946708752431494,"endHours":20.696708752431494,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"01:02","startHours":24.15289556302653,"endHours":25.033372211702147,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:59","end":"07:38","startHours":5.9895590222971835,"endHours":7.6404527385639724,"quality":"inauspicious"},{"name":"Udveg","start":"07:38","end":"09:17","startHours":7.6404527385639724,"endHours":9.291346454830762,"quality":"inauspicious"},{"name":"Chala","start":"09:17","end":"10:57","startHours":9.291346454830762,"endHours":10.94224017109755,"quality":"neutral"},{"name":"Labha","start":"10:57","end":"12:36","startHours":10.94224017109755,"endHours":12.593133887364338,"quality":"auspicious"},{"name":"Amṛta","start":"12:36","end":"14:15","startHours":12.593133887364338,"endHours":14.244027603631128,"quality":"auspicious"},{"name":"Kāla","start":"14:15","end":"15:54","startHours":14.244027603631128,"endHours":15.894921319897918,"quality":"inauspicious"},{"name":"Śubha","start":"15:54","end":"17:33","startHours":15.894921319897918,"endHours":17.545815036164704,"quality":"auspicious"},{"name":"Roga","start":"17:33","end":"19:12","startHours":17.545815036164704,"endHours":19.196708752431494,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:12","end":"20:33","startHours":19.196708752431494,"endHours":20.545815036164704,"quality":"inauspicious"},{"name":"Śubha","start":"20:33","end":"21:54","startHours":20.545815036164704,"endHours":21.894921319897918,"quality":"auspicious"},{"name":"Roga","start":"21:54","end":"23:15","startHours":21.894921319897918,"endHours":23.244027603631128,"quality":"inauspicious"},{"name":"Udveg","start":"23:15","end":"00:36","startHours":23.244027603631128,"endHours":24.59313388736434,"quality":"inauspicious"},{"name":"Chala","start":"00:36","end":"01:57","startHours":24.59313388736434,"endHours":25.94224017109755,"quality":"neutral"},{"name":"Labha","start":"01:57","end":"03:17","startHours":25.94224017109755,"endHours":27.29134645483076,"quality":"auspicious"},{"name":"Amṛta","start":"03:17","end":"04:38","startHours":27.29134645483076,"endHours":28.640452738563972,"quality":"auspicious"},{"name":"Kāla","start":"04:38","end":"05:59","startHours":28.640452738563972,"endHours":29.989559022297183,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.9895590222971835,"endHours":6.9895590222971835,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.9895590222971835,"endHours":7.9895590222971835,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.9895590222971835,"endHours":8.989559022297183,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.989559022297183,"endHours":9.989559022297183,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.989559022297183,"endHours":10.989559022297183,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.989559022297183,"endHours":11.989559022297183,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.989559022297183,"endHours":12.989559022297183,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.989559022297183,"endHours":13.989559022297183,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.989559022297183,"endHours":14.989559022297183,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.989559022297183,"endHours":15.989559022297183,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.989559022297183,"endHours":16.989559022297183,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.989559022297183,"endHours":17.989559022297183,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.989559022297183,"endHours":18.989559022297183,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.989559022297183,"endHours":19.989559022297183,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.989559022297183,"endHours":20.989559022297183,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.989559022297183,"endHours":21.989559022297183,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.989559022297183,"endHours":22.989559022297183,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.989559022297183,"endHours":23.989559022297183,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.989559022297183,"endHours":24.989559022297183,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.989559022297183,"endHours":25.989559022297183,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.989559022297183,"endHours":26.989559022297183,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.989559022297183,"endHours":27.989559022297183,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.989559022297183,"endHours":28.989559022297183,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.989559022297183,"endHours":29.989559022297183,"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","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.98777162543038,"eotMinutes":2.4995667581397525,"ayanamsa":26.2056}},"calendars":{"vikram_samvat":2225,"vikram_samvatsara":"Vṛṣa","saka_samvat":2090,"saka_samvatsara":"Vibhava","bengali_samvat":1575,"malayalam_era":1344,"nanakshahi_year":699,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Navamī · Vikram 2225 Vṛṣa · Śaka 2090 Vibhava"},"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":[]},"validity":{"eternal":false,"location_specific":"thane"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 31, 2168 CE · Thane, Maharashtra · Vidhyamitra","description":"May 31, 2168 CE for Thane, Maharashtra: Kṛṣṇa Navamī, sūryodaya 05:59, sūryāsta 19:12.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/thane/2168-05-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/thane/2168-05-31","sa":"https://sa.vidhyamitra.com/city/thane/2168-05-31","hi":"https://hi.vidhyamitra.com/city/thane/2168-05-31","x-default":"https://vidhyamitra.com/city/thane/2168-05-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T04:53:05.335Z","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":"2026-06-01T04:53:05.335Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T04:53:05.335Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}