{"id":"vidhyamitra:city-day:berlin:2003-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2003-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-12-15","date_display":"December 15, 2003 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":2003,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452988.770833,"kali_year":5105,"ahargana":1864523.2708,"sun":{"sidereal_longitude":238.3265,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":131.3662,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":253.0397,"elapsed_within_tithi_degrees":1.0397},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":131.3662,"elapsed_within_degrees":11.3662},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.6926},"karana":{"half_tithi_index":42,"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":2003,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452988.770833,"ahargana":1864523.2708,"kali_year":5105,"ayanamsa_lahiri":23.9082,"grahas":{"sun":{"sidereal_longitude":238.72524799999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":128.260448,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":4.3883},"mars":{"sidereal_longitude":335.115448,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":258.1849480000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":144.40664800000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":268.36434800000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":77.09144800000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":28.5844,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":208.5844,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2003,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452988.770833,"kali_year":5105,"ahargana":1864523.2708,"sun":{"sidereal_longitude":238.3265,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":131.3662,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":253.0397,"elapsed_within_tithi_degrees":1.0397},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":131.3662,"elapsed_within_degrees":11.3662},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.6926},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.388,"elongation":106.96},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.388,"opposition_distance":73.04}},"eclipse_window_40days":[]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"08:11","sunsetLocal":"15:53","solarNoonLocal":"12:02","dayLengthHours":7.698147152441482,"dayLengthDisplay":"7 Hours 41 Mins 53 Secs","nightLengthDisplay":"16 Hours 18 Mins 07 Secs","moonriseLocal":"21:39","moonsetLocal":"11:41","rahuKala":{"name":"Rāhu Kāla","start":"09:09","end":"10:07","startHours":9.149895900608241,"endHours":10.112164294663426,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:04","end":"12:02","startHours":11.074432688718613,"endHours":12.036701082773797,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:00","end":"13:58","startHours":12.998969476828982,"endHours":13.961237870884169,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:59","end":"10:14","startHours":9.983861842122735,"endHours":10.240466747204119,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:31","end":"08:43","startHours":8.508383637904785,"endHours":8.713667561969892,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:18","startHours":11.780096177692414,"endHours":12.293305987855181,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:10","end":"07:40","startHours":7.161207886227525,"endHours":7.674417696390291,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:33","end":"08:11","startHours":7.5461152438495995,"endHours":8.187627506553056,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:19","end":"13:50","startHours":13.319725608180711,"endHours":13.832935418343476,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:41","end":"16:05","startHours":15.68577465899454,"endHours":16.085774658994538,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"15:53","end":"16:12","startHours":15.885774658994539,"endHours":16.206530790346267,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:38","end":"17:23","startHours":15.635774658994539,"endHours":17.38577465899454,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:18","startHours":23.780096177692414,"endHours":24.293305987855177,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"08:11","end":"09:09","startHours":8.187627506553056,"endHours":9.149895900608241,"quality":"auspicious"},{"name":"Kāla","start":"09:09","end":"10:07","startHours":9.149895900608241,"endHours":10.112164294663426,"quality":"inauspicious"},{"name":"Śubha","start":"10:07","end":"11:04","startHours":10.112164294663426,"endHours":11.074432688718613,"quality":"auspicious"},{"name":"Roga","start":"11:04","end":"12:02","startHours":11.074432688718613,"endHours":12.036701082773797,"quality":"inauspicious"},{"name":"Udveg","start":"12:02","end":"13:00","startHours":12.036701082773797,"endHours":12.998969476828982,"quality":"inauspicious"},{"name":"Chala","start":"13:00","end":"13:58","startHours":12.998969476828982,"endHours":13.961237870884169,"quality":"neutral"},{"name":"Labha","start":"13:58","end":"14:55","startHours":13.961237870884169,"endHours":14.923506264939354,"quality":"auspicious"},{"name":"Amṛta","start":"14:55","end":"15:53","startHours":14.923506264939354,"endHours":15.885774658994539,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"15:53","end":"17:55","startHours":15.885774658994539,"endHours":17.923506264939352,"quality":"neutral"},{"name":"Labha","start":"17:55","end":"19:58","startHours":17.923506264939352,"endHours":19.96123787088417,"quality":"auspicious"},{"name":"Amṛta","start":"19:58","end":"22:00","startHours":19.96123787088417,"endHours":21.998969476828982,"quality":"auspicious"},{"name":"Kāla","start":"22:00","end":"00:02","startHours":21.998969476828982,"endHours":24.036701082773796,"quality":"inauspicious"},{"name":"Śubha","start":"00:02","end":"02:04","startHours":24.036701082773796,"endHours":26.074432688718613,"quality":"auspicious"},{"name":"Roga","start":"02:04","end":"04:07","startHours":26.074432688718613,"endHours":28.112164294663426,"quality":"inauspicious"},{"name":"Udveg","start":"04:07","end":"06:09","startHours":28.112164294663426,"endHours":30.149895900608243,"quality":"inauspicious"},{"name":"Chala","start":"06:09","end":"08:11","startHours":30.149895900608243,"endHours":32.187627506553056,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"08:11","end":"09:11","startHours":8.187627506553056,"endHours":9.187627506553056,"planetary_lord":"Moon"},{"name":"Hora 2","start":"09:11","end":"10:11","startHours":9.187627506553056,"endHours":10.187627506553056,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"10:11","end":"11:11","startHours":10.187627506553056,"endHours":11.187627506553056,"planetary_lord":"Venus"},{"name":"Hora 4","start":"11:11","end":"12:11","startHours":11.187627506553056,"endHours":12.187627506553056,"planetary_lord":"Sun"},{"name":"Hora 5","start":"12:11","end":"13:11","startHours":12.187627506553056,"endHours":13.187627506553056,"planetary_lord":"Mars"},{"name":"Hora 6","start":"13:11","end":"14:11","startHours":13.187627506553056,"endHours":14.187627506553056,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"14:11","end":"15:11","startHours":14.187627506553056,"endHours":15.187627506553056,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"15:11","end":"16:11","startHours":15.187627506553056,"endHours":16.187627506553056,"planetary_lord":"Moon"},{"name":"Hora 9","start":"16:11","end":"17:11","startHours":16.187627506553056,"endHours":17.187627506553056,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"17:11","end":"18:11","startHours":17.187627506553056,"endHours":18.187627506553056,"planetary_lord":"Venus"},{"name":"Hora 11","start":"18:11","end":"19:11","startHours":18.187627506553056,"endHours":19.187627506553056,"planetary_lord":"Sun"},{"name":"Hora 12","start":"19:11","end":"20:11","startHours":19.187627506553056,"endHours":20.187627506553056,"planetary_lord":"Mars"},{"name":"Hora 13","start":"20:11","end":"21:11","startHours":20.187627506553056,"endHours":21.187627506553056,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"21:11","end":"22:11","startHours":21.187627506553056,"endHours":22.187627506553056,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"22:11","end":"23:11","startHours":22.187627506553056,"endHours":23.187627506553056,"planetary_lord":"Moon"},{"name":"Hora 16","start":"23:11","end":"00:11","startHours":23.187627506553056,"endHours":24.187627506553056,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"00:11","end":"01:11","startHours":24.187627506553056,"endHours":25.187627506553056,"planetary_lord":"Venus"},{"name":"Hora 18","start":"01:11","end":"02:11","startHours":25.187627506553056,"endHours":26.187627506553056,"planetary_lord":"Sun"},{"name":"Hora 19","start":"02:11","end":"03:11","startHours":26.187627506553056,"endHours":27.187627506553056,"planetary_lord":"Mars"},{"name":"Hora 20","start":"03:11","end":"04:11","startHours":27.187627506553056,"endHours":28.187627506553056,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"04:11","end":"05:11","startHours":28.187627506553056,"endHours":29.187627506553056,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"05:11","end":"06:11","startHours":29.187627506553056,"endHours":30.187627506553056,"planetary_lord":"Moon"},{"name":"Hora 23","start":"06:11","end":"07:11","startHours":30.187627506553056,"endHours":31.187627506553056,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"07:11","end":"08:11","startHours":31.187627506553056,"endHours":32.187627506553056,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.231654538195038,"eotMinutes":4.177935033572184,"ayanamsa":23.9082}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Saptamī · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"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":"berlin"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 15, 2003 CE · Berlin, Germany · Vidhyamitra","description":"December 15, 2003 CE for Berlin, Germany: Kṛṣṇa Saptamī, sūryodaya 08:11, sūryāsta 15:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2003-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2003-12-15","sa":"https://sa.vidhyamitra.com/city/berlin/2003-12-15","hi":"https://hi.vidhyamitra.com/city/berlin/2003-12-15","x-default":"https://vidhyamitra.com/city/berlin/2003-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T01:02:14.462Z","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":"2026-06-02T01:02:14.462Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T01:02:14.462Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}