{"id":"vidhyamitra:city-day:rishikesh:2043-10-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2043-10-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2043-10-12","date_display":"October 12, 2043 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":2043,"month":10,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467534.770833,"kali_year":5145,"ahargana":1879069.2708,"sun":{"sidereal_longitude":173.3058,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":274.6056,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":101.2998,"elapsed_within_tithi_degrees":5.2998},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":274.6056,"elapsed_within_degrees":7.939},"yoga":{"number":7,"name":"Sukarma","sum_longitude":87.9115},"karana":{"half_tithi_index":16,"name":"Bālava"},"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":2043,"month":10,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2467534.770833,"ahargana":1879069.2708,"kali_year":5145,"ayanamsa_lahiri":24.4645,"grahas":{"sun":{"sidereal_longitude":174.15198399999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":272.46548400000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":-4.018},"mars":{"sidereal_longitude":112.10958400000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":171.19918400000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":243.40468399999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"venus":{"sidereal_longitude":191.09398399999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":202.04388399999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":337.8673,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":157.8673,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":2043,"month":10,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467534.770833,"kali_year":5145,"ahargana":1879069.2708,"sun":{"sidereal_longitude":173.3058,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":274.6056,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":101.2998,"elapsed_within_tithi_degrees":5.2998},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":274.6056,"elapsed_within_degrees":7.939},"yoga":{"number":7,"name":"Sukarma","sum_longitude":87.9115},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.018,"elongation":101.3},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.018,"opposition_distance":78.7}},"eclipse_window_40days":[{"offset_days":-9,"type":"solar","occurs":true,"moon_latitude":-0.526,"elongation":0.644}]},"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":"06:16","sunsetLocal":"17:50","solarNoonLocal":"12:03","dayLengthHours":11.562603471425007,"dayLengthDisplay":"11 Hours 33 Mins 45 Secs","nightLengthDisplay":"12 Hours 26 Mins 15 Secs","moonriseLocal":"13:24","moonsetLocal":"23:48","rahuKala":{"name":"Rāhu Kāla","start":"07:43","end":"09:09","startHours":7.709192583395958,"endHours":9.154518017324083,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:36","end":"12:03","startHours":10.599843451252209,"endHours":12.045168885180335,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:29","end":"14:56","startHours":13.49049431910846,"endHours":14.935819753036586,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:21","startHours":8.961807959467,"endHours":9.347228075181167,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:45","end":"07:03","startHours":6.7456422941105405,"endHours":7.053978386681874,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:26","startHours":11.659748769466168,"endHours":12.430589000894502,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:43","end":"05:30","startHours":4.722186686611165,"endHours":5.493026918039498,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:18","end":"06:16","startHours":5.300316860182415,"endHours":6.263867149467832,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:45","startHours":13.972269463751172,"endHours":14.743109695179506,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.62647062089284,"endHours":18.026470620892837,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:18","startHours":17.826470620892838,"endHours":18.308245765535546,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.576470620892838,"endHours":19.326470620892838,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:26","startHours":23.65974876946617,"endHours":24.4305890008945,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:16","end":"07:43","startHours":6.263867149467832,"endHours":7.709192583395958,"quality":"auspicious"},{"name":"Kāla","start":"07:43","end":"09:09","startHours":7.709192583395958,"endHours":9.154518017324083,"quality":"inauspicious"},{"name":"Śubha","start":"09:09","end":"10:36","startHours":9.154518017324083,"endHours":10.599843451252209,"quality":"auspicious"},{"name":"Roga","start":"10:36","end":"12:03","startHours":10.599843451252209,"endHours":12.045168885180335,"quality":"inauspicious"},{"name":"Udveg","start":"12:03","end":"13:29","startHours":12.045168885180335,"endHours":13.49049431910846,"quality":"inauspicious"},{"name":"Chala","start":"13:29","end":"14:56","startHours":13.49049431910846,"endHours":14.935819753036586,"quality":"neutral"},{"name":"Labha","start":"14:56","end":"16:23","startHours":14.935819753036586,"endHours":16.381145186964712,"quality":"auspicious"},{"name":"Amṛta","start":"16:23","end":"17:50","startHours":16.381145186964712,"endHours":17.826470620892838,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:50","end":"19:23","startHours":17.826470620892838,"endHours":19.381145186964712,"quality":"neutral"},{"name":"Labha","start":"19:23","end":"20:56","startHours":19.381145186964712,"endHours":20.935819753036586,"quality":"auspicious"},{"name":"Amṛta","start":"20:56","end":"22:29","startHours":20.935819753036586,"endHours":22.49049431910846,"quality":"auspicious"},{"name":"Kāla","start":"22:29","end":"00:03","startHours":22.49049431910846,"endHours":24.045168885180335,"quality":"inauspicious"},{"name":"Śubha","start":"00:03","end":"01:36","startHours":24.045168885180335,"endHours":25.59984345125221,"quality":"auspicious"},{"name":"Roga","start":"01:36","end":"03:09","startHours":25.59984345125221,"endHours":27.154518017324083,"quality":"inauspicious"},{"name":"Udveg","start":"03:09","end":"04:43","startHours":27.154518017324083,"endHours":28.709192583395957,"quality":"inauspicious"},{"name":"Chala","start":"04:43","end":"06:16","startHours":28.709192583395957,"endHours":30.26386714946783,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.263867149467832,"endHours":7.263867149467832,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.263867149467832,"endHours":8.263867149467831,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.263867149467831,"endHours":9.263867149467831,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.263867149467831,"endHours":10.263867149467831,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.263867149467831,"endHours":11.263867149467831,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.263867149467831,"endHours":12.263867149467831,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.263867149467831,"endHours":13.263867149467831,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.263867149467831,"endHours":14.263867149467831,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.263867149467831,"endHours":15.263867149467831,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.263867149467831,"endHours":16.26386714946783,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.26386714946783,"endHours":17.26386714946783,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.26386714946783,"endHours":18.26386714946783,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.26386714946783,"endHours":19.26386714946783,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.26386714946783,"endHours":20.26386714946783,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.26386714946783,"endHours":21.26386714946783,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.26386714946783,"endHours":22.26386714946783,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.26386714946783,"endHours":23.26386714946783,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.26386714946783,"endHours":24.26386714946783,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.26386714946783,"endHours":25.26386714946783,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.26386714946783,"endHours":26.26386714946783,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.26386714946783,"endHours":27.26386714946783,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.26386714946783,"endHours":28.26386714946783,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.26386714946783,"endHours":29.26386714946783,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.26386714946783,"endHours":30.26386714946783,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-7.294472492115763,"eotMinutes":14.219466889179907,"ayanamsa":24.4645}},"calendars":{"vikram_samvat":2100,"vikram_samvatsara":"Dhātṛ","saka_samvat":1965,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1450,"malayalam_era":1219,"nanakshahi_year":574,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Navamī · Vikram 2100 Dhātṛ · Śaka 1965 Rudhirodgāri"},"festivals":[{"id":"mahanavami","name":"Mahā-Navamī","name_sanskrit":"महानवमी","tradition":"Shakta","associated_deity":"Devī Durgā","significance":"9th day of Śāradīya Navrātri; Devī's final victory.","vrata":true,"detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":1}],"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":[{"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 October 12, 2043 CE · Ṛṣikeśa · Vidhyamitra","description":"October 12, 2043 CE for Ṛṣikeśa: Śukla Navamī, sūryodaya 06:16, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2043-10-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2043-10-12","sa":"https://sa.vidhyamitra.com/city/rishikesh/2043-10-12","hi":"https://hi.vidhyamitra.com/city/rishikesh/2043-10-12","x-default":"https://vidhyamitra.com/city/rishikesh/2043-10-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T21:21:26.037Z","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":"2026-06-01T21:21:26.037Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T21:21:26.037Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}