{"id":"vidhyamitra:city-day:rishikesh:2169-08-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2169-08-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2169-08-31","date_display":"August 31, 2169 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":2169,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513513.770833,"kali_year":5271,"ahargana":1925048.2708,"sun":{"sidereal_longitude":130.7741,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":237.1341,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":106.36,"elapsed_within_tithi_degrees":10.36},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":237.1341,"elapsed_within_degrees":10.4674},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":7.9081},"karana":{"half_tithi_index":17,"name":"Kaulava"},"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":2169,"month":8,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513513.770833,"ahargana":1925048.2708,"kali_year":5271,"ayanamsa_lahiri":26.2231,"grahas":{"sun":{"sidereal_longitude":131.86114800000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":240.66454799999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":0.3562},"mars":{"sidereal_longitude":82.11044800000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":111.430048,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":122.43654800000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":108.03574800000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":291.84634800000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":61.6786,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":241.6786,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2169,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513513.770833,"kali_year":5271,"ahargana":1925048.2708,"sun":{"sidereal_longitude":130.7741,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":237.1341,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":106.36,"elapsed_within_tithi_degrees":10.36},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":237.1341,"elapsed_within_degrees":10.4674},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":7.9081},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.356,"elongation":106.36},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.356,"opposition_distance":73.64}},"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":"05:53","sunsetLocal":"18:41","solarNoonLocal":"12:17","dayLengthHours":12.795651620753219,"dayLengthDisplay":"12 Hours 47 Mins 44 Secs","nightLengthDisplay":"11 Hours 12 Mins 16 Secs","moonriseLocal":"14:27","moonsetLocal":"00:37","rahuKala":{"name":"Rāhu Kāla","start":"13:53","end":"15:29","startHours":13.879189960537698,"endHours":15.478646413131848,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:53","end":"07:29","startHours":5.881907697566935,"endHours":7.481364150161087,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:05","end":"10:41","startHours":9.080820602755239,"endHours":10.680277055349393,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:18","startHours":8.867559742409352,"endHours":9.294081463101126,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:45","startHours":6.415059848431652,"endHours":6.756277224985071,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:42","startHours":11.85321178725177,"endHours":12.706255228635317,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:11","end":"05:02","startHours":4.175820814799839,"endHours":5.028864256183387,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:49","end":"05:53","startHours":4.8156033958375,"endHours":5.881907697566935,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:25","end":"15:16","startHours":14.412342111402413,"endHours":15.265385552785961,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:29","end":"18:53","startHours":18.477559318320154,"endHours":18.877559318320152,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:41","end":"19:13","startHours":18.677559318320153,"endHours":19.210711469184872,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:26","end":"20:11","startHours":18.427559318320153,"endHours":20.177559318320153,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:42","startHours":23.85321178725177,"endHours":24.706255228635317,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:53","end":"07:29","startHours":5.881907697566935,"endHours":7.481364150161087,"quality":"auspicious"},{"name":"Roga","start":"07:29","end":"09:05","startHours":7.481364150161087,"endHours":9.080820602755239,"quality":"inauspicious"},{"name":"Udveg","start":"09:05","end":"10:41","startHours":9.080820602755239,"endHours":10.680277055349393,"quality":"inauspicious"},{"name":"Chala","start":"10:41","end":"12:17","startHours":10.680277055349393,"endHours":12.279733507943543,"quality":"neutral"},{"name":"Labha","start":"12:17","end":"13:53","startHours":12.279733507943543,"endHours":13.879189960537698,"quality":"auspicious"},{"name":"Amṛta","start":"13:53","end":"15:29","startHours":13.879189960537698,"endHours":15.478646413131848,"quality":"auspicious"},{"name":"Kāla","start":"15:29","end":"17:05","startHours":15.478646413131848,"endHours":17.078102865726002,"quality":"inauspicious"},{"name":"Śubha","start":"17:05","end":"18:41","startHours":17.078102865726002,"endHours":18.677559318320153,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:41","end":"20:05","startHours":18.677559318320153,"endHours":20.078102865726002,"quality":"auspicious"},{"name":"Kāla","start":"20:05","end":"21:29","startHours":20.078102865726002,"endHours":21.478646413131848,"quality":"inauspicious"},{"name":"Śubha","start":"21:29","end":"22:53","startHours":21.478646413131848,"endHours":22.879189960537694,"quality":"auspicious"},{"name":"Roga","start":"22:53","end":"00:17","startHours":22.879189960537694,"endHours":24.279733507943543,"quality":"inauspicious"},{"name":"Udveg","start":"00:17","end":"01:41","startHours":24.279733507943543,"endHours":25.680277055349393,"quality":"inauspicious"},{"name":"Chala","start":"01:41","end":"03:05","startHours":25.680277055349393,"endHours":27.08082060275524,"quality":"neutral"},{"name":"Labha","start":"03:05","end":"04:29","startHours":27.08082060275524,"endHours":28.481364150161085,"quality":"auspicious"},{"name":"Amṛta","start":"04:29","end":"05:53","startHours":28.481364150161085,"endHours":29.881907697566934,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:53","end":"06:53","startHours":5.881907697566935,"endHours":6.881907697566935,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:53","end":"07:53","startHours":6.881907697566935,"endHours":7.881907697566935,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:53","end":"08:53","startHours":7.881907697566935,"endHours":8.881907697566934,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:53","end":"09:53","startHours":8.881907697566934,"endHours":9.881907697566934,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:53","end":"10:53","startHours":9.881907697566934,"endHours":10.881907697566934,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:53","end":"11:53","startHours":10.881907697566934,"endHours":11.881907697566934,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:53","end":"12:53","startHours":11.881907697566934,"endHours":12.881907697566934,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:53","end":"13:53","startHours":12.881907697566934,"endHours":13.881907697566934,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:53","end":"14:53","startHours":13.881907697566934,"endHours":14.881907697566934,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:53","end":"15:53","startHours":14.881907697566934,"endHours":15.881907697566934,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:53","end":"16:53","startHours":15.881907697566934,"endHours":16.881907697566934,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:53","end":"17:53","startHours":16.881907697566934,"endHours":17.881907697566934,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:53","end":"18:53","startHours":17.881907697566934,"endHours":18.881907697566934,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:53","end":"19:53","startHours":18.881907697566934,"endHours":19.881907697566934,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:53","end":"20:53","startHours":19.881907697566934,"endHours":20.881907697566934,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:53","end":"21:53","startHours":20.881907697566934,"endHours":21.881907697566934,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:53","end":"22:53","startHours":21.881907697566934,"endHours":22.881907697566934,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:53","end":"23:53","startHours":22.881907697566934,"endHours":23.881907697566934,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:53","end":"00:53","startHours":23.881907697566934,"endHours":24.881907697566934,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:53","end":"01:53","startHours":24.881907697566934,"endHours":25.881907697566934,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:53","end":"02:53","startHours":25.881907697566934,"endHours":26.881907697566934,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:53","end":"03:53","startHours":26.881907697566934,"endHours":27.881907697566934,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:53","end":"04:53","startHours":27.881907697566934,"endHours":28.881907697566934,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:53","end":"05:53","startHours":28.881907697566934,"endHours":29.881907697566934,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":8.537158735691653,"eotMinutes":0.14558952338733633,"ayanamsa":26.2231}},"calendars":{"vikram_samvat":2226,"vikram_samvatsara":"Citrabhānu","saka_samvat":2091,"saka_samvatsara":"Śukla","bengali_samvat":1576,"malayalam_era":1345,"nanakshahi_year":700,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","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 Śukla Navamī · Vikram 2226 Citrabhānu · Śaka 2091 Śukla"},"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 Jyeṣṭhā","url":"/day/-3137-10-20","relevance":0.5},{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5}]},"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 August 31, 2169 CE · Ṛṣikeśa · Vidhyamitra","description":"August 31, 2169 CE for Ṛṣikeśa: Śukla Navamī, sūryodaya 05:53, sūryāsta 18:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2169-08-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2169-08-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/2169-08-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/2169-08-31","x-default":"https://vidhyamitra.com/city/rishikesh/2169-08-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T22:45:07.602Z","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":"2026-05-30T22:45:07.602Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T22:45:07.602Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}