{"id":"vidhyamitra:city-day:rishikesh:1867-12-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1867-12-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1867-12-30","date_display":"December 30, 1867 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":1867,"month":12,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2403330.770833,"kali_year":4969,"ahargana":1814865.2708,"sun":{"sidereal_longitude":255.9867,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":303.3805,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.3937,"elapsed_within_tithi_degrees":11.3937},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":303.3805,"elapsed_within_degrees":10.0471},"yoga":{"number":15,"name":"Vajra","sum_longitude":199.3672},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":1867,"month":12,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2403330.770833,"ahargana":1814865.2708,"kali_year":4969,"ayanamsa_lahiri":22.009,"grahas":{"sun":{"sidereal_longitude":255.914848,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":299.80144799999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false,"latitude":1.2636},"mars":{"sidereal_longitude":258.5189479999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":243.415348,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":314.5995479999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":281.21084799999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":220.254548,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":139.7042,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":319.7042,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":1867,"month":12,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2403330.770833,"kali_year":4969,"ahargana":1814865.2708,"sun":{"sidereal_longitude":255.9867,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":303.3805,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.3937,"elapsed_within_tithi_degrees":11.3937},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":303.3805,"elapsed_within_degrees":10.0471},"yoga":{"number":15,"name":"Vajra","sum_longitude":199.3672},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.264,"elongation":47.394},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.264,"opposition_distance":132.606}},"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":"07:13","sunsetLocal":"17:27","solarNoonLocal":"12:20","dayLengthHours":10.226782700065568,"dayLengthDisplay":"10 Hours 13 Mins 36 Secs","nightLengthDisplay":"13 Hours 46 Mins 24 Secs","moonriseLocal":"09:46","moonsetLocal":"20:44","rahuKala":{"name":"Rāhu Kāla","start":"08:30","end":"09:46","startHours":8.49383806247995,"endHours":9.772185899988147,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:03","end":"12:20","startHours":11.050533737496341,"endHours":12.328881575004537,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:36","end":"14:53","startHours":13.607229412512734,"endHours":14.88557725002093,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.60173952165372,"endHours":9.942632278322572,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.64160617080782,"endHours":7.914320376142902,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:40","startHours":11.987988818335685,"endHours":12.66977433167339,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:32","startHours":5.851919198296345,"endHours":6.53370471163405,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:13","startHours":6.3632583332996235,"endHours":7.215490224971754,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:43","startHours":14.0333453583488,"endHours":14.715130871686505,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.242272925037323,"endHours":17.64227292503732,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:52","startHours":17.442272925037322,"endHours":17.86838887087339,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.192272925037322,"endHours":18.942272925037322,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:40","startHours":23.987988818335683,"endHours":24.66977433167339,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:13","end":"08:30","startHours":7.215490224971754,"endHours":8.49383806247995,"quality":"auspicious"},{"name":"Kāla","start":"08:30","end":"09:46","startHours":8.49383806247995,"endHours":9.772185899988147,"quality":"inauspicious"},{"name":"Śubha","start":"09:46","end":"11:03","startHours":9.772185899988147,"endHours":11.050533737496341,"quality":"auspicious"},{"name":"Roga","start":"11:03","end":"12:20","startHours":11.050533737496341,"endHours":12.328881575004537,"quality":"inauspicious"},{"name":"Udveg","start":"12:20","end":"13:36","startHours":12.328881575004537,"endHours":13.607229412512734,"quality":"inauspicious"},{"name":"Chala","start":"13:36","end":"14:53","startHours":13.607229412512734,"endHours":14.88557725002093,"quality":"neutral"},{"name":"Labha","start":"14:53","end":"16:10","startHours":14.88557725002093,"endHours":16.163925087529126,"quality":"auspicious"},{"name":"Amṛta","start":"16:10","end":"17:27","startHours":16.163925087529126,"endHours":17.442272925037322,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:27","end":"19:10","startHours":17.442272925037322,"endHours":19.163925087529126,"quality":"neutral"},{"name":"Labha","start":"19:10","end":"20:53","startHours":19.163925087529126,"endHours":20.88557725002093,"quality":"auspicious"},{"name":"Amṛta","start":"20:53","end":"22:36","startHours":20.88557725002093,"endHours":22.607229412512734,"quality":"auspicious"},{"name":"Kāla","start":"22:36","end":"00:20","startHours":22.607229412512734,"endHours":24.328881575004537,"quality":"inauspicious"},{"name":"Śubha","start":"00:20","end":"02:03","startHours":24.328881575004537,"endHours":26.050533737496345,"quality":"auspicious"},{"name":"Roga","start":"02:03","end":"03:46","startHours":26.050533737496345,"endHours":27.772185899988145,"quality":"inauspicious"},{"name":"Udveg","start":"03:46","end":"05:30","startHours":27.772185899988145,"endHours":29.493838062479952,"quality":"inauspicious"},{"name":"Chala","start":"05:30","end":"07:13","startHours":29.493838062479952,"endHours":31.215490224971752,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.215490224971754,"endHours":8.215490224971754,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.215490224971754,"endHours":9.215490224971754,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.215490224971754,"endHours":10.215490224971754,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.215490224971754,"endHours":11.215490224971754,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.215490224971754,"endHours":12.215490224971754,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.215490224971754,"endHours":13.215490224971754,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.215490224971754,"endHours":14.215490224971754,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.215490224971754,"endHours":15.215490224971754,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.215490224971754,"endHours":16.215490224971752,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.215490224971752,"endHours":17.215490224971752,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.215490224971752,"endHours":18.215490224971752,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.215490224971752,"endHours":19.215490224971752,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.215490224971752,"endHours":20.215490224971752,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.215490224971752,"endHours":21.215490224971752,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.215490224971752,"endHours":22.215490224971752,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.215490224971752,"endHours":23.215490224971752,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.215490224971752,"endHours":24.215490224971752,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.215490224971752,"endHours":25.215490224971752,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.215490224971752,"endHours":26.215490224971752,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.215490224971752,"endHours":27.215490224971752,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.215490224971752,"endHours":28.215490224971752,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.215490224971752,"endHours":29.215490224971752,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.215490224971752,"endHours":30.215490224971752,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.215490224971752,"endHours":31.215490224971752,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"Sushira","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.199567972108664,"eotMinutes":-2.803294500272213,"ayanamsa":22.009}},"calendars":{"vikram_samvat":1924,"vikram_samvatsara":"Vikrama","saka_samvat":1789,"saka_samvatsara":"Prabhava","bengali_samvat":1274,"malayalam_era":1043,"nanakshahi_year":398,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturthī · Vikram 1924 Vikrama · Śaka 1789 Prabhava"},"festivals":[{"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":"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 December 30, 1867 CE · Ṛṣikeśa · Vidhyamitra","description":"December 30, 1867 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 07:13, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1867-12-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1867-12-30","sa":"https://sa.vidhyamitra.com/city/rishikesh/1867-12-30","hi":"https://hi.vidhyamitra.com/city/rishikesh/1867-12-30","x-default":"https://vidhyamitra.com/city/rishikesh/1867-12-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T22:57:22.591Z","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":"2026-05-30T22:57:22.591Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T22:57:22.591Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}