{"id":"vidhyamitra:city-day:rishikesh:2042-10-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2042-10-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2042-10-18","date_display":"October 18, 2042 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":2042,"month":10,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467175.770833,"kali_year":5144,"ahargana":1878710.2708,"sun":{"sidereal_longitude":179.5165,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":226.2962,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.7798,"elapsed_within_tithi_degrees":10.7798},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":226.2962,"elapsed_within_degrees":12.9629},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.8127},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2042,"month":10,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2467175.770833,"ahargana":1878710.2708,"kali_year":5144,"ayanamsa_lahiri":24.4508,"grahas":{"sun":{"sidereal_longitude":180.34950000000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":223.3365,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false,"latitude":-3.4156},"mars":{"sidereal_longitude":211.07029999999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":168.56560000000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":218.20630000000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":181.81539999999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":192.32269999999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":356.8889,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":176.8889,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":2042,"month":10,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467175.770833,"kali_year":5144,"ahargana":1878710.2708,"sun":{"sidereal_longitude":179.5165,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":226.2962,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.7798,"elapsed_within_tithi_degrees":10.7798},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":226.2962,"elapsed_within_degrees":12.9629},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.8127},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.416,"elongation":46.78},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.416,"opposition_distance":133.22}},"eclipse_window_40days":[{"offset_days":-4,"type":"solar","occurs":true,"moon_latitude":0.074,"elongation":0.607}]},"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":"06:20","sunsetLocal":"17:43","solarNoonLocal":"12:02","dayLengthHours":11.38059485192013,"dayLengthDisplay":"11 Hours 22 Mins 50 Secs","nightLengthDisplay":"12 Hours 37 Mins 10 Secs","moonriseLocal":"09:44","moonsetLocal":"20:03","rahuKala":{"name":"Rāhu Kāla","start":"09:11","end":"10:36","startHours":9.180416983632995,"endHours":10.60299134012301,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:27","end":"14:52","startHours":13.448140053103042,"endHours":14.87071440959306,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:20","end":"07:45","startHours":6.3352682706529615,"endHours":7.757842627142978,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:22","startHours":8.990740402767658,"endHours":9.37009356449833,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:49","end":"07:07","startHours":6.8094597228163005,"endHours":7.112942252200837,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:24","startHours":11.646212534882354,"endHours":12.404918858343697,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:49","end":"05:35","startHours":4.817855623730278,"endHours":5.576561947191619,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:23","end":"06:20","startHours":5.386885366326284,"endHours":6.3352682706529615,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:41","startHours":13.922331505266381,"endHours":14.681037828727723,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:31","end":"17:55","startHours":17.51586312257309,"endHours":17.91586312257309,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:43","end":"18:11","startHours":17.71586312257309,"endHours":18.19005457473643,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:28","end":"19:13","startHours":17.46586312257309,"endHours":19.21586312257309,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:24","startHours":23.646212534882356,"endHours":24.404918858343695,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:20","end":"07:45","startHours":6.3352682706529615,"endHours":7.757842627142978,"quality":"inauspicious"},{"name":"Śubha","start":"07:45","end":"09:11","startHours":7.757842627142978,"endHours":9.180416983632995,"quality":"auspicious"},{"name":"Roga","start":"09:11","end":"10:36","startHours":9.180416983632995,"endHours":10.60299134012301,"quality":"inauspicious"},{"name":"Udveg","start":"10:36","end":"12:02","startHours":10.60299134012301,"endHours":12.025565696613025,"quality":"inauspicious"},{"name":"Chala","start":"12:02","end":"13:27","startHours":12.025565696613025,"endHours":13.448140053103042,"quality":"neutral"},{"name":"Labha","start":"13:27","end":"14:52","startHours":13.448140053103042,"endHours":14.87071440959306,"quality":"auspicious"},{"name":"Amṛta","start":"14:52","end":"16:18","startHours":14.87071440959306,"endHours":16.293288766083073,"quality":"auspicious"},{"name":"Kāla","start":"16:18","end":"17:43","startHours":16.293288766083073,"endHours":17.71586312257309,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:43","end":"19:18","startHours":17.71586312257309,"endHours":19.293288766083073,"quality":"auspicious"},{"name":"Amṛta","start":"19:18","end":"20:52","startHours":19.293288766083073,"endHours":20.870714409593056,"quality":"auspicious"},{"name":"Kāla","start":"20:52","end":"22:27","startHours":20.870714409593056,"endHours":22.448140053103042,"quality":"inauspicious"},{"name":"Śubha","start":"22:27","end":"00:02","startHours":22.448140053103042,"endHours":24.025565696613025,"quality":"auspicious"},{"name":"Roga","start":"00:02","end":"01:36","startHours":24.025565696613025,"endHours":25.60299134012301,"quality":"inauspicious"},{"name":"Udveg","start":"01:36","end":"03:11","startHours":25.60299134012301,"endHours":27.180416983632995,"quality":"inauspicious"},{"name":"Chala","start":"03:11","end":"04:45","startHours":27.180416983632995,"endHours":28.757842627142978,"quality":"neutral"},{"name":"Labha","start":"04:45","end":"06:20","startHours":28.757842627142978,"endHours":30.33526827065296,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:20","end":"07:20","startHours":6.3352682706529615,"endHours":7.3352682706529615,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:20","end":"08:20","startHours":7.3352682706529615,"endHours":8.33526827065296,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:20","end":"09:20","startHours":8.33526827065296,"endHours":9.33526827065296,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:20","end":"10:20","startHours":9.33526827065296,"endHours":10.33526827065296,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:20","end":"11:20","startHours":10.33526827065296,"endHours":11.33526827065296,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:20","end":"12:20","startHours":11.33526827065296,"endHours":12.33526827065296,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:20","end":"13:20","startHours":12.33526827065296,"endHours":13.33526827065296,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:20","end":"14:20","startHours":13.33526827065296,"endHours":14.33526827065296,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:20","end":"15:20","startHours":14.33526827065296,"endHours":15.33526827065296,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:20","end":"16:20","startHours":15.33526827065296,"endHours":16.33526827065296,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:20","end":"17:20","startHours":16.33526827065296,"endHours":17.33526827065296,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:20","end":"18:20","startHours":17.33526827065296,"endHours":18.33526827065296,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:20","end":"19:20","startHours":18.33526827065296,"endHours":19.33526827065296,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:20","end":"20:20","startHours":19.33526827065296,"endHours":20.33526827065296,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:20","end":"21:20","startHours":20.33526827065296,"endHours":21.33526827065296,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:20","end":"22:20","startHours":21.33526827065296,"endHours":22.33526827065296,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:20","end":"23:20","startHours":22.33526827065296,"endHours":23.33526827065296,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:20","end":"00:20","startHours":23.33526827065296,"endHours":24.33526827065296,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:20","end":"01:20","startHours":24.33526827065296,"endHours":25.33526827065296,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:20","end":"02:20","startHours":25.33526827065296,"endHours":26.33526827065296,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:20","end":"03:20","startHours":26.33526827065296,"endHours":27.33526827065296,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:20","end":"04:20","startHours":27.33526827065296,"endHours":28.33526827065296,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:20","end":"05:20","startHours":28.33526827065296,"endHours":29.33526827065296,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:20","end":"06:20","startHours":29.33526827065296,"endHours":30.33526827065296,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-9.60365236959727,"eotMinutes":15.395658203218455,"ayanamsa":24.4508}},"calendars":{"vikram_samvat":2099,"vikram_samvatsara":"Yuva","saka_samvat":1964,"saka_samvatsara":"Dundubhi","bengali_samvat":1449,"malayalam_era":1218,"nanakshahi_year":573,"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":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Caturthī · Vikram 2099 Yuva · Śaka 1964 Dundubhi"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi_ingress":"Tulā"},"precedence":5},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 October 18, 2042 CE · Ṛṣikeśa · Vidhyamitra","description":"October 18, 2042 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 06:20, sūryāsta 17:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2042-10-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2042-10-18","sa":"https://sa.vidhyamitra.com/city/rishikesh/2042-10-18","hi":"https://hi.vidhyamitra.com/city/rishikesh/2042-10-18","x-default":"https://vidhyamitra.com/city/rishikesh/2042-10-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T04:26:24.693Z","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":"2026-06-03T04:26:24.693Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T04:26:24.693Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}