{"id":"vidhyamitra:day:1668-12-09:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1668-12-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1668-12-09","date_display":"December 9, 1668 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":1668,"month":12,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2330627.770833,"kali_year":4770,"ahargana":1742162.2708,"sun":{"sidereal_longitude":239.0276,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":305.3397,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":66.3122,"elapsed_within_tithi_degrees":6.3122},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":305.3397,"elapsed_within_degrees":12.0064},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":184.3673},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1668,"month":12,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2330627.770833,"ahargana":1742162.2708,"kali_year":4770,"ayanamsa_lahiri":19.2284,"grahas":{"sun":{"sidereal_longitude":238.63313800000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":308.012338,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":-4.4917},"mars":{"sidereal_longitude":299.00173800000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":257.5844380000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":50.042737999999986,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":197.31113800000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":294.9829380000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":31.859,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":211.859,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","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":1668,"month":12,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2330627.770833,"kali_year":4770,"ahargana":1742162.2708,"sun":{"sidereal_longitude":239.0276,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":305.3397,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":66.3122,"elapsed_within_tithi_degrees":6.3122},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":305.3397,"elapsed_within_degrees":12.0064},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":184.3673},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.492,"elongation":66.312},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.492,"opposition_distance":113.688}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1725,"vikram_samvatsara":"Durmati","saka_samvat":1590,"saka_samvatsara":"Kīlaka","bengali_samvat":1075,"malayalam_era":844,"nanakshahi_year":199,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","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":"Mārgaśīrṣa Śukla Ṣaṣṭhī · Vikram 1725 Durmati · Śaka 1590 Kīlaka"},"festivals":[{"id":"skanda-shashthi","name":"Skanda Ṣaṣṭhī","name_sanskrit":"स्कन्द षष्ठी","tradition":"Shaiva","associated_deity":"Kārttikeya / Skanda / Murugan","significance":"Kārttikeya's victory over Tāraka. Important Shaiva day in Tamil tradition.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1668-12-09T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 9, 1668 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 9, 1668 CE: Śukla Ṣaṣṭhī · Dhaniṣṭhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1668-12-09","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1668-12-09","sa":"https://sa.vidhyamitra.com/day/1668-12-09","hi":"https://hi.vidhyamitra.com/day/1668-12-09","x-default":"https://vidhyamitra.com/day/1668-12-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-04T22:49:50.338Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-06-04T22:49:50.338Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}