{"id":"vidhyamitra:city-day:rishikesh:2168-09-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2168-09-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2168-09-12","date_display":"September 12, 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":9,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513160.770833,"kali_year":5270,"ahargana":1924695.2708,"sun":{"sidereal_longitude":142.6097,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":261.2905,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":118.6808,"elapsed_within_tithi_degrees":10.6808},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":261.2905,"elapsed_within_degrees":7.9571},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":43.9002},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":9,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513160.770833,"ahargana":1924695.2708,"kali_year":5270,"ayanamsa_lahiri":26.2096,"grahas":{"sun":{"sidereal_longitude":143.735135,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":263.24213499999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false,"latitude":-0.0713},"mars":{"sidereal_longitude":182.02563499999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":125.886235,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":100.379235,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"venus":{"sidereal_longitude":177.57193500000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":278.765135,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":80.3823,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":260.3823,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2168,"month":9,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513160.770833,"kali_year":5270,"ahargana":1924695.2708,"sun":{"sidereal_longitude":142.6097,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":261.2905,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":118.6808,"elapsed_within_tithi_degrees":10.6808},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":261.2905,"elapsed_within_degrees":7.9571},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":43.9002},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.071,"elongation":118.681},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.071,"opposition_distance":61.319}},"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":"05:59","sunsetLocal":"18:26","solarNoonLocal":"12:13","dayLengthHours":12.437011997924763,"dayLengthDisplay":"12 Hours 26 Mins 13 Secs","nightLengthDisplay":"11 Hours 33 Mins 47 Secs","moonriseLocal":"15:02","moonsetLocal":"01:19","rahuKala":{"name":"Rāhu Kāla","start":"07:33","end":"09:06","startHours":7.545221908311792,"endHours":9.099848408052388,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:39","end":"12:13","startHours":10.654474907792983,"endHours":12.209101407533577,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:46","end":"15:19","startHours":13.763727907274173,"endHours":15.31835440701477,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:18","startHours":8.892564874753642,"endHours":9.307131941351134,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:31","end":"06:50","startHours":6.508804241818061,"endHours":6.840457895096055,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:37","startHours":11.794534340936085,"endHours":12.623668474131069,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:20","end":"05:10","startHours":4.332327142181228,"endHours":5.161461275376212,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"05:59","startHours":4.954177742077466,"endHours":5.990595408571196,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:07","startHours":14.281936740521036,"endHours":15.11107087371602,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:14","end":"18:38","startHours":18.22760740649596,"endHours":18.627607406495958,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:26","end":"18:57","startHours":18.42760740649596,"endHours":18.945816239742825,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:11","end":"19:56","startHours":18.17760740649596,"endHours":19.92760740649596,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:37","startHours":23.794534340936085,"endHours":24.62366847413107,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:59","end":"07:33","startHours":5.990595408571196,"endHours":7.545221908311792,"quality":"auspicious"},{"name":"Kāla","start":"07:33","end":"09:06","startHours":7.545221908311792,"endHours":9.099848408052388,"quality":"inauspicious"},{"name":"Śubha","start":"09:06","end":"10:39","startHours":9.099848408052388,"endHours":10.654474907792983,"quality":"auspicious"},{"name":"Roga","start":"10:39","end":"12:13","startHours":10.654474907792983,"endHours":12.209101407533577,"quality":"inauspicious"},{"name":"Udveg","start":"12:13","end":"13:46","startHours":12.209101407533577,"endHours":13.763727907274173,"quality":"inauspicious"},{"name":"Chala","start":"13:46","end":"15:19","startHours":13.763727907274173,"endHours":15.31835440701477,"quality":"neutral"},{"name":"Labha","start":"15:19","end":"16:52","startHours":15.31835440701477,"endHours":16.872980906755362,"quality":"auspicious"},{"name":"Amṛta","start":"16:52","end":"18:26","startHours":16.872980906755362,"endHours":18.42760740649596,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:26","end":"19:52","startHours":18.42760740649596,"endHours":19.872980906755362,"quality":"neutral"},{"name":"Labha","start":"19:52","end":"21:19","startHours":19.872980906755362,"endHours":21.318354407014766,"quality":"auspicious"},{"name":"Amṛta","start":"21:19","end":"22:46","startHours":21.318354407014766,"endHours":22.763727907274173,"quality":"auspicious"},{"name":"Kāla","start":"22:46","end":"00:13","startHours":22.763727907274173,"endHours":24.209101407533577,"quality":"inauspicious"},{"name":"Śubha","start":"00:13","end":"01:39","startHours":24.209101407533577,"endHours":25.65447490779298,"quality":"auspicious"},{"name":"Roga","start":"01:39","end":"03:06","startHours":25.65447490779298,"endHours":27.099848408052388,"quality":"inauspicious"},{"name":"Udveg","start":"03:06","end":"04:33","startHours":27.099848408052388,"endHours":28.54522190831179,"quality":"inauspicious"},{"name":"Chala","start":"04:33","end":"05:59","startHours":28.54522190831179,"endHours":29.990595408571195,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.990595408571196,"endHours":6.990595408571196,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.990595408571196,"endHours":7.990595408571196,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.990595408571196,"endHours":8.990595408571195,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.990595408571195,"endHours":9.990595408571195,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.990595408571195,"endHours":10.990595408571195,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.990595408571195,"endHours":11.990595408571195,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.990595408571195,"endHours":12.990595408571195,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.990595408571195,"endHours":13.990595408571195,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.990595408571195,"endHours":14.990595408571195,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.990595408571195,"endHours":15.990595408571195,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.990595408571195,"endHours":16.990595408571195,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.990595408571195,"endHours":17.990595408571195,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.990595408571195,"endHours":18.990595408571195,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.990595408571195,"endHours":19.990595408571195,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.990595408571195,"endHours":20.990595408571195,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.990595408571195,"endHours":21.990595408571195,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.990595408571195,"endHours":22.990595408571195,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.990595408571195,"endHours":23.990595408571195,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.990595408571195,"endHours":24.990595408571195,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.990595408571195,"endHours":25.990595408571195,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.990595408571195,"endHours":26.990595408571195,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.990595408571195,"endHours":27.990595408571195,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.990595408571195,"endHours":28.990595408571195,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.990595408571195,"endHours":29.990595408571195,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","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":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Mātaṇga","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":3.982012383399666,"eotMinutes":4.383515547985428,"ayanamsa":26.2096}},"calendars":{"vikram_samvat":2225,"vikram_samvatsara":"Vṛṣa","saka_samvat":2090,"saka_samvatsara":"Vibhava","bengali_samvat":1575,"malayalam_era":1344,"nanakshahi_year":699,"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 Daśamī · Vikram 2225 Vṛṣa · Śaka 2090 Vibhava"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 September 12, 2168 CE · Ṛṣikeśa · Vidhyamitra","description":"September 12, 2168 CE for Ṛṣikeśa: Śukla Daśamī, sūryodaya 05:59, sūryāsta 18:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2168-09-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2168-09-12","sa":"https://sa.vidhyamitra.com/city/rishikesh/2168-09-12","hi":"https://hi.vidhyamitra.com/city/rishikesh/2168-09-12","x-default":"https://vidhyamitra.com/city/rishikesh/2168-09-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T18:32:23.308Z","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":"2026-05-31T18:32:23.308Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T18:32:23.308Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}