{"id":"vidhyamitra:city-day:rishikesh:2165-05-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2165-05-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-05-31","date_display":"May 31, 2165 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":2165,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511960.770833,"kali_year":5267,"ahargana":1923495.2708,"sun":{"sidereal_longitude":43.358,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":288.9023,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.5443,"elapsed_within_tithi_degrees":5.5443},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":288.9023,"elapsed_within_degrees":8.9023},"yoga":{"number":25,"name":"Brahma","sum_longitude":332.2603},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2165,"month":5,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511960.770833,"ahargana":1923495.2708,"kali_year":5267,"ayanamsa_lahiri":26.1637,"grahas":{"sun":{"sidereal_longitude":43.85358400000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":290.393784,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false,"latitude":2.5833},"mars":{"sidereal_longitude":345.897084,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":64.63568399999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":356.918784,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":68.92048399999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":248.95538399999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":143.964,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":323.964,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"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":2165,"month":5,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511960.770833,"kali_year":5267,"ahargana":1923495.2708,"sun":{"sidereal_longitude":43.358,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":288.9023,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.5443,"elapsed_within_tithi_degrees":5.5443},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":288.9023,"elapsed_within_degrees":8.9023},"yoga":{"number":25,"name":"Brahma","sum_longitude":332.2603},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.583,"elongation":114.456},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.583,"opposition_distance":65.544}},"eclipse_window_40days":[]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"05:16","sunsetLocal":"19:13","solarNoonLocal":"12:14","dayLengthHours":13.942978346070413,"dayLengthDisplay":"13 Hours 56 Mins 35 Secs","nightLengthDisplay":"10 Hours 03 Mins 25 Secs","moonriseLocal":"23:16","moonsetLocal":"10:06","rahuKala":{"name":"Rāhu Kāla","start":"10:30","end":"12:14","startHours":10.497628260772203,"endHours":12.240500554031005,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:44","end":"17:28","startHours":15.726245140548608,"endHours":17.46911743380741,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:01","end":"08:45","startHours":7.011883674254599,"endHours":8.7547559675134,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:31","end":"08:59","startHours":8.522372995078893,"endHours":8.987138939947908,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:51","end":"06:13","startHours":5.849968812082064,"endHours":6.221781567977275,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:42","startHours":11.775734609161992,"endHours":12.705266498900018,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:25","end":"04:20","startHours":3.4099476015197423,"endHours":4.339479491257769,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:06","end":"05:16","startHours":4.107096518823263,"endHours":5.2690113809957975,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:30","startHours":14.564330278376074,"endHours":15.493862168114102,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:01","end":"19:25","startHours":19.01198972706621,"endHours":19.41198972706621,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:13","end":"19:48","startHours":19.21198972706621,"endHours":19.79294715815248,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:58","end":"20:43","startHours":18.96198972706621,"endHours":20.71198972706621,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:42","startHours":23.77573460916199,"endHours":24.70526649890002,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:16","end":"07:01","startHours":5.2690113809957975,"endHours":7.011883674254599,"quality":"neutral"},{"name":"Labha","start":"07:01","end":"08:45","startHours":7.011883674254599,"endHours":8.7547559675134,"quality":"auspicious"},{"name":"Amṛta","start":"08:45","end":"10:30","startHours":8.7547559675134,"endHours":10.497628260772203,"quality":"auspicious"},{"name":"Kāla","start":"10:30","end":"12:14","startHours":10.497628260772203,"endHours":12.240500554031005,"quality":"inauspicious"},{"name":"Śubha","start":"12:14","end":"13:59","startHours":12.240500554031005,"endHours":13.983372847289806,"quality":"auspicious"},{"name":"Roga","start":"13:59","end":"15:44","startHours":13.983372847289806,"endHours":15.726245140548608,"quality":"inauspicious"},{"name":"Udveg","start":"15:44","end":"17:28","startHours":15.726245140548608,"endHours":17.46911743380741,"quality":"inauspicious"},{"name":"Chala","start":"17:28","end":"19:13","startHours":17.46911743380741,"endHours":19.21198972706621,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:13","end":"20:28","startHours":19.21198972706621,"endHours":20.46911743380741,"quality":"inauspicious"},{"name":"Udveg","start":"20:28","end":"21:44","startHours":20.46911743380741,"endHours":21.726245140548606,"quality":"inauspicious"},{"name":"Chala","start":"21:44","end":"22:59","startHours":21.726245140548606,"endHours":22.983372847289807,"quality":"neutral"},{"name":"Labha","start":"22:59","end":"00:14","startHours":22.983372847289807,"endHours":24.240500554031005,"quality":"auspicious"},{"name":"Amṛta","start":"00:14","end":"01:30","startHours":24.240500554031005,"endHours":25.497628260772203,"quality":"auspicious"},{"name":"Kāla","start":"01:30","end":"02:45","startHours":25.497628260772203,"endHours":26.7547559675134,"quality":"inauspicious"},{"name":"Śubha","start":"02:45","end":"04:01","startHours":26.7547559675134,"endHours":28.011883674254598,"quality":"auspicious"},{"name":"Roga","start":"04:01","end":"05:16","startHours":28.011883674254598,"endHours":29.2690113809958,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:16","end":"06:16","startHours":5.2690113809957975,"endHours":6.2690113809957975,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:16","end":"07:16","startHours":6.2690113809957975,"endHours":7.2690113809957975,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:16","end":"08:16","startHours":7.2690113809957975,"endHours":8.269011380995797,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:16","end":"09:16","startHours":8.269011380995797,"endHours":9.269011380995797,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:16","end":"10:16","startHours":9.269011380995797,"endHours":10.269011380995797,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:16","end":"11:16","startHours":10.269011380995797,"endHours":11.269011380995797,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:16","end":"12:16","startHours":11.269011380995797,"endHours":12.269011380995797,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:16","end":"13:16","startHours":12.269011380995797,"endHours":13.269011380995797,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:16","end":"14:16","startHours":13.269011380995797,"endHours":14.269011380995797,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:16","end":"15:16","startHours":14.269011380995797,"endHours":15.269011380995797,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:16","end":"16:16","startHours":15.269011380995797,"endHours":16.2690113809958,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:16","end":"17:16","startHours":16.2690113809958,"endHours":17.2690113809958,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:16","end":"18:16","startHours":17.2690113809958,"endHours":18.2690113809958,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:16","end":"19:16","startHours":18.2690113809958,"endHours":19.2690113809958,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:16","end":"20:16","startHours":19.2690113809958,"endHours":20.2690113809958,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:16","end":"21:16","startHours":20.2690113809958,"endHours":21.2690113809958,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:16","end":"22:16","startHours":21.2690113809958,"endHours":22.2690113809958,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:16","end":"23:16","startHours":22.2690113809958,"endHours":23.2690113809958,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:16","end":"00:16","startHours":23.2690113809958,"endHours":24.2690113809958,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:16","end":"01:16","startHours":24.2690113809958,"endHours":25.2690113809958,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:16","end":"02:16","startHours":25.2690113809958,"endHours":26.2690113809958,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:16","end":"03:16","startHours":26.2690113809958,"endHours":27.2690113809958,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:16","end":"04:16","startHours":27.2690113809958,"endHours":28.2690113809958,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:16","end":"05:16","startHours":28.2690113809958,"endHours":29.2690113809958,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Padma","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":21.949379015239153,"eotMinutes":2.4995667581397525,"ayanamsa":26.1637}},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"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 Ṣaṣṭhī · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"rishikesh"},"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, 2165 CE · Ṛṣikeśa · Vidhyamitra","description":"May 31, 2165 CE for Ṛṣikeśa: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:16, sūryāsta 19:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2165-05-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2165-05-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/2165-05-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/2165-05-31","x-default":"https://vidhyamitra.com/city/rishikesh/2165-05-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T08:08:39.494Z","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":"2026-05-31T08:08:39.494Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T08:08:39.494Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}